Bet/fold, definitely, always in spots like this.

http://www.flopturnriver.com/pokerfo...rs-143207.html

If he has Ax then yeah, you're beat, but the best way to find out is to bet and fold if he raises. If you check and show weakness and he bets than you're completely in the dark as to what he has. And think, if your putting him on Ax, Kx, or Qx, then 2 out of 3 times your ahead. He also could have Jx for all we know and missed his draw. Ax and J10 are the only hands in his range that have you beat here.

What I found useful in these situations where you really don't want to bet is to just ask yourself how much you would call and then bet that amount. It's always best to be forcing villain to make decisions.

I don't think your bets were too large. You had two pair against a big blind and limper with high VPIP's so most of the time you're in good shape and want to get max value while also denying them odds to draw.