When it gets back to you, there are 21 bets in the pot, and it costs you 3 more (based on your analysis) to play. You easily get odds to flop your set. Yes, you will not always win when you do, but the overlay for you to call is there, as the pot will be huge when you take it down. If this was me, I would cap it and represent AA-KK. Since you will be calling a cap anyways, you might as well do it yourself.

EDIT: because everyone will be calling your cap, your odds for this street are 10.67:1. Ridiculous.