BB Stats;

VPIP: 28, PFR: 20, 3B: 10, AF: 3.4, fSBstl: 60%, BvB 3b: 8, Hands: 782

I usually raise a bit bigger because antes are in play and I don't want the BB to be peeling super wide IP deep.

Decided to use this hand in my checking raise to protect my range which includes stuff like 88, 99. I don't think I can get much value from worse by cbetting either. The board is so dry that I feel he'll attack my capped range with a lot of air.

I bet the turn which I would do with a large % of my range, and he raises.

From his perspective I look capped to < trips, so I call and keep his range the widest. He could do this with backdoor heart draws, random gutshots as well as pure air.

There is $78.20 behind, so I feel shoving is a little ambitious.

The thing is, i'm not perceived to have an A here very often, so should I be raising river and expect to get called by worse?

I'd like to be able to turn hands like 44 or KThh so I feel like I need to raise A9. I assume he'd bet any combos that us (22, 66) and AT+ to 3b pre and bet the flop when checked to.

Thoughts?