jamming turn seems pretty bad to me. what hands do you think you deny equity by shoving the turn? his only straight draws are random 7x/8x. one, i don't think it accounts for much of his range, and two, those hands only have like 10-12% equity anyways. i like the check.
river i also like the check, don't expect us to get hero'd too often here and think we do better by giving him the chance to turn something into a bluff. imo he's mostly just going to call a block with Ax and fold everything else.
and I guess it's a check/fold if he jams or bets big? I think most people would just check back their Ax and the occasional draw doesn't make up for the times I run into 9x?
I can't really think of a reasonable betsize I would call, it would have to be some very small underbet.