flops in the OK range but im not sure if id want to get money in in 2 streets or 3 on the flop, id probably go for 2 with a draw for pressure so 185ish otf and shoving safe turn is more standard (not this one obv).
turn its in the same range, i think 90-120 accomlishes the same thing and saves a few bbs w/ draws
One thing to consider is how often he stabs river. Or if you check back does he immediately consider you to be weak/considering he is check raising a jack (which you don't have) ? If he is one of those characters or has the right type of dynamic built, you can wait a medium amount of time and check turn to appear weak. He stabs on river and you can like 2.2x his bet to take down more. Honestly I feel like a lot of these heads up players are going to know you have at least AJ on the turn if you lead it.
Worst case scenario - He checks river and you token bet him.