Abandon ship, or calldown mode?

[teddyFBI]

Good Party 15 game. 10 players.

Hero in BB w/ AKo

EP limps, semi-loose somewhat aggro (27/10/1.9) player in MP3 raises, button cold-calls, I 3bet from BB, EP calls 2 cold, MP3 caps, button calls, 4 to flop.

Flop KQ3 rainbow: I lead, EP calls, MP3 raises, button fold, I 3-bet, EP fold, MP3 caps. 2 of us to turn.

Turn: 9 completing rainbow, I check, MP3 bets.

???
I seriously contemplated folding here...I couldn't imagine what, if anything I was ahead of...I don't think AQ or JJ jams this so hard.
The other line I was contemplating was betting out on turn, and folding to a raise.

I check called both turn and river blank.