A pretty ubiquitous concept in Torah is the idea of aseh docheh lo saaseh, that a positive mitzvah can override a negative precept.
I recently saw in a contemporary sefer that Beis Shammai don't hold of aseh docheh lo saaseh. It was quoting Sifsei Maharash parshas Beshalach s.v. ובזה יש, by Rav Shmuel Engel (19-20th century). I was quite surprised by this as I didn't encounter this in my delving into the topic.
I decided to look into it and managed to find that the Penei Yehoshua to Beitzah 7b s.v. רש"י ד"ה והא, brought by the Pardes Yosef to Exodus 20:8 s.v. ובילקוט דוד says this.
ועוד נ"ל דבלא"ה לא שייך כלל אליבא דב"ש ה"ט דאתי עשה ודחי ל"ת לשיטת רש"י שכתב בכמה דוכתי דלב"ש דפוטר סדין בציצית היינו משום דלא דריש סמוכין דגדילים תעשה לך וא"כ דאפילו בציצית גופא סובר ב"ש דלא אתי עשה ודחי ל"ת כ"ש בכל דוכתי דהא בשום דוכתא לא ידעינן ליה אלא מקרא דגדילים תעשה לך בפ"ק דיבמות.
Rashi (Menachos 40a; Shabbos 25b) says that since Beis Shammai don't make drashos using juxtaposed verses, they don't allow kilayim with tzitzis. The Penei Yehoshua sees from this that since kilayim with tzitzis is the primary source for aseh docheh lo saaseh (see the beginning of Yevamos), since Beis Shammai don't hold of it, they don't have a source for the concept.
I was wondering if anyone else, especially earlier, says Beis Shammai don't hold of this? Bonus points if you find someone who argues.