1/2: Triple barrel AQo here vs reg in 3b pot?

Been playing pretty ABC for a while and finally decided to push the envelope a bit. This hand happens:

UTG opens $12, MP calls, I’m OTB with black AQo and 3b to $50. UTG calls, MP calls.

Flop ($150): T♦7♥2♠
Checks to me, I c-bet $65 repping JJ+, UTG calls, MP folds.

Turn ($280): 3♥
He checks. Pretty terrible barrel card, but if I always check back my overs here I become way too face-up. I fire $150, he calls again. At this point, he’s Tx-heavy.

River ($580): J♥
He checks with $250 behind. I tank, consider jamming, but with black AQ I don’t block hearts.

Thoughts?

Do you guys empty the clip here vs this type, or is the check-back the only sane play?