I think all lines are reasonable, but I'd not be thrilled to get lots of money in on this board. You probably want to check at least one of the three streets, depending on the runout.

On the turn, Villain has quite some combos of straights (QJs), sets (TT,99), and two pair (T9s, KTs). But Villain also has a bunch of middling hands (KQs, KJs, JJ, ATs, QTs) and flush draws, and occasionally AQ/AJ gutshots. Against that range, you can probably mix checking or bet with AA.

Whether or not you can go for value on the river depends on the river card.

One other consideration in deciding where to check, flop\turn\river, is how likely the check back rivers with showdown hands. Would he check back 2pair and worse? Top pair and worse? Bluff a lot? Only raise with nutted hands if you bet\fold river? Those are going to be things to guide your river decision.

Masta--

Against a 100bb opponent were in a much tougher spot. I think I like checking AdAx on the flop both because we are less afraid of a turn diamond than with other hands and because our opponent has less FDs we can get value from.