30-60 Flop checkraise and fold to 3-bet

[PokerPrince]

Full 30-60 game with a few nice fishies. Three limpers to me in the SB and I complete with A [img]/images/graemlins/heart.gif[/img]T [img]/images/graemlins/diamond.gif[/img]. BB raises and all call back to me. This is more than likely a large pair or bulky Ace from what I've seen from this guy. I'm closing the action and call.

Flop-T [img]/images/graemlins/spade.gif[/img]4 [img]/images/graemlins/spade.gif[/img]3 [img]/images/graemlins/heart.gif[/img]

I check, BB bets, one limper calls and I checkraise. BB 3-bets, limper folds and so do I. After looking back on this hand, I think betting out is a better play than the checkraise. Would like to know what you guys think. I put him on an overpair as he seemed to play very straight forward but also aggressive. He flashes me the Q [img]/images/graemlins/spade.gif[/img]J [img]/images/graemlins/spade.gif[/img] for a big draw. How do you play my hand given the situation? Do you muck if you take the checkraise route or continue on?

PokerPrince