As far as I'm aware the only concern Rabbinic Jews need to have regarding prostrating for Sigd is that we have a halakha/Biblical law not to prostrate on any stones outside of the Temple.
Rabbi Mordikhai Eliyahu rules: From the verse "and the decorated stone
do not let be prostrated upon in your land" (Leviticus 26:1) we learn
that the Torah forbids us to prostrate with hands and feet spread out
on a stone floor. It is forbidden even if we intend to worship
properly and not for avodah zarah. The Biblical prohibition is limited
to the prostration with hands and feet outspread while his face
touches the ground). However Rabbi Mordikhai Eliyahu permits the
bending-down (k'ri'ah) (as in the prayer of the Shemoneh Esreh).
Source: http://www.alsadiqin.org/en/index.php/Halachic_Rulings_and_Modern_Practice
So if one wants to celebrate Sigd I would advise them to prostrate on a surface not made of stone, or bring a prayer rug. Prayer rugs have a long history in Jewish worship as both a respectful place to sit, and as acting as a barrier between you and the stone to allow for full prostration.
...All the Jews in Spain, the west, Babylonia, and Eretz Yisrael, are
accustomed to light lamps in the synagogue and spread mats over the
floor to sit on. In European communities, they sit on chairs.
וְנוֹהֲגִין כָּל יִשְׂרָאֵל בִּסְפָרַד וּבַמַּעֲרָב בְּשִׁנְעָר
וּבְאֶרֶץ הַצְּבִי לְהַדְלִיק עֲשָׁשִׁיּוֹת בְּבָתֵּי כְּנֵסִיּוֹת
וּלְהַצִּיעַ בְּקַרְקָעָן מַחְצְלָאוֹת כְּדֵי לֵישֵׁב עֲלֵיהֶם.
וּבְעָרֵי אֱדוֹם יוֹשְׁבִין בָּהּ עַל הַכִּסְאוֹת:
Source: Rambam's Mishneh Torah, Laws of Tefilah and Priestly Blessing - 11:5