A difficult 10/20 AA hand

[AZK]

10/20, effective stack 2k, 6max, you just sat down.

Tough player opens UTG, 2+2er calls, you raise pot from BB with AA, both call, pot is 1050

Flop J98 all clubs

You check (I think this is correct a very large percentage of the time, but I'd like to hear legit well thoughtout arguments if anyone disagrees), tough player bets pot, 2+2er folds, action?

Probable hand range for tough player is AA-88. With most likely a club draw, i.e. KcKx. Give it 70% he has a pair+club, and 30% he has a set. AcKc is possible but I don't think it would be played so quick (but I have no clue, just from what I would think).

Move in or fold?

My primary thought was the amount of money already in the pot.

~Rationale for flop cehck: very easy to get stolen from, very easy to steal on turn if flop goes check check check.