I think i would check everything on the Turn, 13% percent equity its not that big of a deal, this board is easy for slowplay with A5s 56s (if he is 3betting them) AA and maybe even KK sometimes, with AA he loves it when you bet for protection, when you bluff your broadway or when your broadway improves to the "board nuts" and you cant fold.So i am not saying that he has every AA and KK possible but he is not capped at them.So being out of position and capped yourself i would like to have only 1 betting street left here.You can bluff your air on some rivers and bet pairs for value for balance against his Ax. If i bet the turn for protection as mixed strategy i would check river and decide what to do but it would be a fold most of the times. So on this river as played what you trying to do is to make it easier for yourself but you open yourself up for a much more difficult decision and you can blow up the pot with a range that does not want this to happen, i would not call the min raise on the river or the big raise.

I don't think blocking works here in practice because of how polarized villains overall range is, meaning that he usually has just AK or he has the nuts (AA, AQ, quads...). So my plan would be to check and expect to win againts AK, and fold to a bet, expecting villain to have a strong hand way more often than not.

First of all you playing from UTG vs BU 3 betting range ( more narrow).
I like your turn play, but river bit thin readless, probably you dont max your EV by block betting:
1) Q is good card for him ( improves his turn calling range)
2) you aren't getting called by AJ,AT. Your target AK and A4. Seems like A4 will call, but AK time to time shove or even fold.(need info on that)
3)Villian have plenty strong hands, his check otf is suspicios. Maybe he has 99 and you valueturn yourself