Board double pairs without me, Keep betting?

[SoBeDude]

Party 30/60

2 folds, I raise with red Jacks

Next player (73%/34/1.5) calls of course, folded to unknown in SB who also calls. BB folds.

Flop is Q 3 3, 2 diamonds.

SB checks, I bet, both call.

Turn is a Qs

Checked around.

River Ts

Checked to me. Bet?

If you say bet, why? I'm going to get called by someone holding a 3 and a missed draw is going to fold. This seems to be a "will I get called by a hand that I beat more than 50% of the time?" question.

Only if someone has a pocket pair or a T will I get called and win. (and maybe someone holding a lone ace) But is this enough to make it a bet?

Am I better off checking again and letting Mister 73% take a shot at the pot (which I will call unless SB raises)?

-Scott