There are no Biblical or reliable Historical references to a High Court or a Sanhedrin type system. When I say there aren't any reliable historical references, I mean that there aren't any references from works close to being in the same time period. We have plenty of later commentaries that anachronistically insert High Court systems into the Bible, but we can't confirm the authenticity of such statements as they occur so many centuries after the actual events. Also, any systems of judgment mentioned in the Bible are vague often change as the Bible goes on. For example, the Priests are said to be given the authority to provide judgments and to teach the Torah to the people
Deuteronomy 17
ח כִּי יִפָּלֵא מִמְּךָ דָבָר לַמִּשְׁפָּט, בֵּין-דָּם לְדָם
בֵּין-דִּין לְדִין וּבֵין נֶגַע לָנֶגַע--דִּבְרֵי רִיבֹת,
בִּשְׁעָרֶיךָ: וְקַמְתָּ וְעָלִיתָ--אֶל-הַמָּקוֹם, אֲשֶׁר יִבְחַר
יְהוָה אֱלֹהֶיךָ בּוֹ. 8 If there arise a matter too hard for thee in
judgment, between blood and blood, between plea and plea, and between
stroke and stroke, even matters of controversy within thy gates; then
shalt thou arise, and get thee up unto the place which the LORD thy
God shall choose. ט וּבָאתָ, אֶל-הַכֹּהֲנִים הַלְוִיִּם,
וְאֶל-הַשֹּׁפֵט, אֲשֶׁר יִהְיֶה בַּיָּמִים הָהֵם; וְדָרַשְׁתָּ
וְהִגִּידוּ לְךָ, אֵת דְּבַר הַמִּשְׁפָּט. 9 And thou shall come unto
the priests the Levites, and unto the judge that shall be in those
days; and thou shalt inquire; and they shall declare unto thee the
sentence of judgment. י וְעָשִׂיתָ, עַל-פִּי הַדָּבָר אֲשֶׁר
יַגִּידוּ לְךָ, מִן-הַמָּקוֹם הַהוּא, אֲשֶׁר יִבְחַר יְהוָה;
וְשָׁמַרְתָּ לַעֲשׂוֹת, כְּכֹל אֲשֶׁר יוֹרוּךָ. 10 And thou shalt do
according to the tenor of the sentence, which they shall declare unto
thee from that place which the LORD shall choose; and thou shalt
observe to do according to all that they shall teach thee. יא
עַל-פִּי הַתּוֹרָה אֲשֶׁר יוֹרוּךָ, וְעַל-הַמִּשְׁפָּט אֲשֶׁר-יֹאמְרוּ
לְךָ--תַּעֲשֶׂה: לֹא תָסוּר, מִן-הַדָּבָר אֲשֶׁר-יַגִּידוּ
לְךָ--יָמִין וּשְׂמֹאל. 11 According to the law which they shall teach
thee, and according to the judgment which they shall tell thee, thou
shalt do; thou shalt not turn aside from the sentence which they shall
declare unto thee, to the right hand, nor to the left. יב וְהָאִישׁ
אֲשֶׁר-יַעֲשֶׂה בְזָדוֹן, לְבִלְתִּי שְׁמֹעַ אֶל-הַכֹּהֵן הָעֹמֵד
לְשָׁרֶת שָׁם אֶת-יְהוָה אֱלֹהֶיךָ, אוֹ, אֶל-הַשֹּׁפֵט--וּמֵת הָאִישׁ
הַהוּא, וּבִעַרְתָּ הָרָע מִיִּשְׂרָאֵל. 12 And the man that doeth
presumptuously, in not hearkening unto the priest that standeth to
minister there before the LORD thy God, or unto the judge, even that
man shall die; and thou shalt exterminate the evil from Israel. יג
וְכָל-הָעָם, יִשְׁמְעוּ וְיִרָאוּ; וְלֹא יְזִידוּן, עוֹד. {ס} 13 And
all the people shall hear, and fear, and do no more presumptuously.
{S}
Deuteronomy seems to say that the courts would be held by Levites and Priests, followed then by judges and the like. Compare that to other places in the Torah which speak only of judges, then compare that to the book of Judges where most of them aren't priests, compare that to Solomon giving judgments on his own, even though he's not a priest, a levite, nor a judge. And so you are left with several vague systems that often change throughout time as the Bible progresses. So looking for any High Court references in the Bible will not turn up anything reliable. Especially since the High Court or Sanhedrin idea comes late in the Second Temple period. And part of answering your question is tracing the history of the word Sanhedrin, because it's likely that the high court system developed alongside the word Sanhedrin.
The word Sanhedrin itself is actually a Greek word, though most Jews aren't aware of this. The "Hebrew" word Sanhedrin (סַנְהֶדְרִין) comes from the Greek: Συνέδριον,1 synedrion, "sitting together," hence "assembly" or "council." Since the word is taken so directly from the Greek, some scholars say it shows that the Sanhedrin came to be during the time of the Ptolemaic dynasty (think time of the Maccabees).
Source: https://en.wikipedia.org/wiki/Sanhedrin
The closest Biblical references to something like a Sanhedrin are those in the books of Maccabees. Many scholars believe the books of Maccabees were part of the Hebrew Bible since we see them as part of the canon of the Septuagint. Which is why the Catholic church still has the books of the Maccabees, as they canonized the Septuagint. Although at a later point the books of Maccabees were taken out of Biblical canon amongst Jews, we still rely on the historical information present in them. And although the word Sanhedrin/High Court isn't used in Maccabees, a word that describes something similar is used.
2 Maccabees 11:27-33New American Bible (Revised Edition) (NABRE)
27 The king’s letter to the people was as follows: “King Antiochus
sends greetings to the Jewish senate and to the rest of the Jews. 28
If you are well, it is what we desire. We too are in good health. 29
Menelaus has told us of your wish to return home and attend to your
own affairs. 30 Therefore, those who return by the thirtieth of
Xanthicus will have our assurance of full permission 31 to observe
their dietary and other laws, just as before, and none of the Jews
shall be molested in any way for faults committed through ignorance.
32 I have also sent Menelaus to reassure you. 33 Farewell.” In the one
hundred and forty-eighth year, the fifteenth of Xanthicus.[a]
Source: https://www.biblegateway.com/passage/?search=2+Maccabees+11%3A27-33&version=NABRE
The word used there in Maccabees is Gerousia – "senate" or "council." This is the oldest term which was used toward the end of the Persian period (cf. Josephus' Antiquities 12.3.3 and II Maccabees 11:27). It is used in the New Testament in the book of Luke in Acts 5:21 along with "Sanhedrin." The author of Luke may have used the word Gerousia juxtaposed to Sanhedrin as a way of explaining the term to Greek speaking readers who did not use the term Sanhedrin the same way the Jews were using it. In much the same way my wife has to explain to me that a "kitchen roll" isn't a type of bread, but how British people say "paper towels."
So the final answer is: No, there are no Biblical or Historical sources for a High Court in Judea. You are asking for sources that do not exist, about a system which we have no reliable evidence existed. You could try narrowing your question to asking for sources of what types of court systems exist, or open up your sources to allow for Aggadic or other Rabbinic references.