Ak hand: I think you played it fine. Villain really shouldn't be value betting worse as he can't expect you to fold Ax, so I think we can check fold. Villains can't hand read either, so he probably thinks you have Qx sometimes and that would dissuade betting.
The range he's value betting is really narrow though and is really only fixed at JTcc and AQ sometimes, assuming he doesn't raise flop or turn with AQ. You'd think 99 and QQ would raise before the river.
TT: yeah, doesn't look good!