30-60 hand. I think I botched this.

[Jon K.]

very good, very loose-passive 30-60 game.

MP open limps, LP limps, button(loose but I haven't seen him raise a single hand yet, have played maybe 60-80 hands with him total. so far he's been passive after the flop as well) raises, I'm in the BB and call w/ 55 as do both limpers.

flop 2 5 7r.

I lead, limpers both fold, button raises, I 3bet, he 4bets (no cap) and I call.

turn A I check raise, he 3bets.

At this point I can only think to put him on AA. Would he cap the flop with just overcards? I can't imagine him 3 betting here with KK or QQ after the ace hits. So I call.

River is a J and I check-call.

Anyone have a better line to take here? Am I putting too much weight into the very-passive read I have on him after so few hands?