1/2, $500 eff: Combo draw facing turn xr from aggro pro on paired board

1/2 live — $500 effective

EP limper, Hero raises to $15 in MP with 9♥8♥ (too loose?)

BTN calls, BB (aggro pro) calls, UTG calls

Flop ($60): A♥️ 7♥ 7♣
Checks around

Turn ($60): 5♣
BB checks, UTG leads for $30
Hero calls, BTN folds, BB check-raises to $125, UTG folds

Hero? ($355 behind, pot is now $245, $95 to call)

I’m holding 9♥8♥ so I have a non-nut flush draw, and some straight outs. The BB is a very aggro reg capable of applying pressure with air or semi-bluffs attacking capped ranges. That said, there’s also a decent chance he has a better heart draw or something like A7, 75s, or even 77 where I could be drawing dead.

Couple things on my mind:

• My flush might not even be live if he has bigger hearts

• No guarantee I realize full equity unless I jam

• But jamming seems overplayed unless I think he’s full of it

Is this a call getting 2.6:1? Or just a disciplined fold since my draw might be dirty?

Also - is flop a cbet 4 way?