I think your thoughts on his range is flawed here. He can have Tx such as JT (maybe JTo) TT, T9,T8s. 77 88 is for sure in his range when you 3bet SB vs BTN (not any our of the ordinary size) And JJ doesnt need to raise since the flop is not that "wet" since there is not FD and only inside str8s possible.

Therefore i dont think we can VB river here. You will have to be called almost everytime they hold a J and that wont happen imo.

Yes makes sense think I was trying to justify my play a little! So bearing in mind there is 20 in the pot and he only has 9.50 behind are you still just check folding river?

I like in this spot check/jam turn, your line is more standard, river is easy check/fold, i think if he has one pair hand like AJ KJ he is going to check back and some 2 pair hands and when he bets i think he has 90% better hand and some bluffs like 76s,86s.

Also in this spot i have all hands that you think he can*t have

Yep seems like you did. Its important to be objective. Im leaning towards c/f that river yes. @kuca86 said it well.

I think there's too many two pair combos which make perfect sense to be shoving this river. Check fold is my first thought because I doubt he is going to try and value bet much at all with the four straight out there. Hands like AJ are never going to be betting there.

As you didn't give any reads of villain I also wouldn't be so sure he can't have many sets, because players in the micros will often call you down instead of raising in 3 bet pots because the money all goes in so easily.