3 Fathers, 3 Holidays
The Shulchan Aruch, Orach Chaim 417, repeats what was written by the Tur, that the Shalosh Regalim parallel the Shloshah Avot. (There is a hint in the Torah to the Avraham and Pesach connection in that he served Matzot to the visiting angels who tradition has it came to him on Pesach. After re-meeting Eisav Yaakov settled in Sukkot and built Sukkut. That leaves Shavuot for Yitzchak.)
If you know any other sources or information about this idea please let me know.