Playing Ax Suited at a LAG Live 3/6 Table...

[CoachBill]

I've been playing at a live 3/6 card room recently. Last night, the table was 8 handed with 3-4 LAGs that were 3-betting or capping with marginal hands. My image was tight, as I actually folded most hands, unlike the rest. I need some help figuring out this hand with the dynamics of this table...

I picked up A6 suited in middle position. 2 limpers, I call, 2 more calls and the big blind raises. Both limper and I call, but the Button raises. He could be slow-playing a big hand or just raising with low suited connectors or trash for fun. The big blind caps it (he is a LAG) and both limpers before me cold call (19 bets). It is very likely that both the caller and button after me will also call 4. Is this a situation where I cold-call 2 bets?

I wanted some views on playing Ax suited against a field of players like this where it can often be 6 players in the pot at 3 or 4 bets each. Is this a +EV situation or not?

A secondary question would be this:

If I do call pre-flop, what do I do if the flop has an Ace, is rainbow with one of my suit (backdoor flush), and it is 27 bets to me (The big blind bet and both limpers called)?

It is likely the button will raise and the Big Blind will re-raise. It could go to 4 bets again and get down to 3 or 4-handed...

Thanks for your input.