I come across this situation quite a lot when playing A-xs and am wondering what the right play is.

a loose/passive $1/$2 pacific game

Hero is UTG with Ah-3h. Hero calls, 3 limpers call, SB folds and BB checks. 5SB's

Flop: 2c, 5d, 10s . BB bets, Hero ..?

So missed the flush but got a gutshot. I've been raising quite a lot here to try and fold out other A-x hands so if I do spike an ace, it might win. Is this a bit over-aggressive with this rather weak draw on a smallish pot?