Interesting hand ... BB push could mean many things but it almost certainly means he didn't flop the flush and given his preflop reraise it means you're way ahead of him. The most reasonable explanation for the other villian's call is that he holds the Ah - and given his preflop raise and lack of reraise when BB re-opened the betting that narrows him down to AJ+h, AhK, maybe AhQ. This is where it gets interesting for me - his call given the pot and stack sizes almost certainly means he's prepared to call your push. If I think his preflop action includes AQo then I push as I'm a significant favorite over this range when I'm called as expected. If I exclude AQo from his range then the push isn't as clear to me and I'm inclined to just call and go to the felt w/ any non-heart turn. If a heart hits the turn I'll call a bet that's priced right otherwise I'm done - as it played out I check behind.

Posters Caveat: I did the math quickly but certainly more than the alloted 30 seconds - in the heat of battle I push the flop.