BB is $0.50. Let's turn our cards face up while we're at it. $2 is fine.
If someone's big raise from BB turns his cards face up then he has unbalanced strategy. Throw in some J2o's, *3o's, bomb at dead money with AK, even AQ and stop worrying about broadcasting your hand.

But ok, let it be $2 and milking style. Different styles, one likes milking, the other one aims at destacking. I go for finding people's weakness and breaking them, so if their weakness is playing lots of pots for a raise I make sure I can force them to make the biggest mistake possible.

Turn is easy bet/call, only insufferable nits put very loose player HU on flush draw and make scared checks and folds after 3rd suit hits.

Opponent is short, loose caller, we are good here in most cases and if not, Ah is insurance policy. It's bet/call on turn. Folding pretty good hands against absurd bets of shorties is definitely losing play.

I guess that check was to induce bluff and our Hero insta-called.