2/5, AKhh in 3b pot

$2/$5, $500 effective.

UTG limps, UTG1 (loose aggressive player) opens to $25, BTN calls. I’m in the BB with A♥K♥ and squeeze to $135. Only UTG1 calls.

Flop ($300): 9♦4♠2♥️
Stacks behind: ~$365

Now, here’s where I want feedback.

I bet $75 and he shoved. Easy fold in hindsight since I have two overs + backdoor hearts but not enough equity vs sets/overpairs. But I’m wondering: instead of betting small and folding, should I just jam $365 into $300 on this flop?

My thoughts:

• SPR is only ~1.2, so we’re nearly in shove/fold territory.

• Jamming puts max pressure on TT–QQ, which are in his range. Those hands often fold facing an overjam in a live $2/$5 pool.

• When called, I’ve got ~25–30% vs overpairs and some chance to spike.

• Checking seems weak and ceding initiative. Betting small feels like burning money if I fold to a shove.

Question:

In this spot, is an overjam the highest EV line with A♥K♥? Or should I stick to a small c-bet/check strategy and avoid spewing when I miss?

Would love to hear how you’d play this hand at your local $2/$5.