3/6 live, laying down aces, bad fold?

[Thrahl]

live 3/6 full table. The SB is a very loose plyer who even mentions that he pretty much only plays NL.

Im in MP and look down and find pocket AA.

One limps in front of me.

I raise, SB calls, BB calls, Limper calls.

Flop comes 7 5 5 rainbow.

SB bets, BB folds, limper calls, I reraise

SB makes it 3 bets, Limper calls I think for a second then
call.

Turn comes a blank and SB bets. At this point I know he has a five and possibly sevens full.

Disgusted, I muck my hand

limper calls.

River is an Ace.

SB bets, limper folds.

After the hand SB says he had a 5.

I know this is results oriented thinking but the pot was fairly large at that point, should I have called one more bet to see the river? This is one of the few times I have actually laid down aces in limit without seeing the river.