Assuming they are a standard reg:

Not a fan of the 4bet this deep, if we get 5bet or shoved on we have to fold.

Flop check is fine, AQ/QQ/77 and maybe even AA (1 combo) in their range. Don't really expect to see AJ or worse here.

Turn bet I just call, we have TPTK + NFD and awesome implied odds. By shoving I don't see a worse hand calling or a better hand folding.

The fact that I got a call from AQo OOP confirms this is a 4 bet every day of the week for me! AA is never in his range as that 5 bets! QQ BB v CO should be a 5 bet too so he should have very little QQ! 77 is a very speculative call OOP to a 4 bet even this deep!

I think his range is much more like 99-JJ, AK, AQ, AJs and some Axs and suited connectors! Against this range we are doing pretty well! By shoving he can only call the very top of his range (AQ which he even tanked) and we have 12 outs, we deny his chop equity with AK as he has to fold and we deny him the opportunity to blow us off our face up hand if we call!

Standard until the jam. I dont want to play any of my hands in my range like this.

Dont think its enough value in trying to get him of a split pot, if thats your toughts process

I´m with Prostaker imo call turn call any river, maybe he valuebets worse after you check behind flop or turns sth into a bluff. By shoving you isolate yourself vs AQ QQ.

easy turn and river call, jam doesn't make sense, only better hands will call.

At these stakes I wouldn't be 4 betting AK when I can call in position comfortably. With the deep stacks I wouldn't consider it for a minute.

Flop check back looks good given villain's range.

Once he bets the turn though I don't see any reason to shove when we might be pushing him off a weaker Ax. Calling would be fine then we can reassess on the river.

If he bets massive on the river I think we can get away. I'm not worried about being exploitable at 20NL.