This situation develops quite often. When the 3better check/calls the flop, I assume he has all Ax in his range (most likely the smaller kickers), all his PP and sets.
Should I be checking back this flop and trap him if I hit the flush, or should I start betting right away?
Once he calls, should I check back the turn or keep betting (perhaps bigger, however I wanted to make an inviting bet (not necessarily scare him off), makes it look like I have the A. What are your thoughts on this ?
I assume the 2 isn't the best turn card to keep barreling, right?

And on the river it's pretty much a gamble weather he's folding his PP or never folding an A? So how much should I bet if I barrelled twice already...

Thanks!