Playing AA on the flop HU

[EasilyFound]

Curious to see whether your decision is the same or different than mine. How do you play this hand on the flop?

PokerStars Game #2877853010: Tournament #14158595, Hold'em No Limit - Level V (75/150) - 2005/10/23 - 22:06:09 (ET)
Table '14158595 1' Seat #5 is the button
Seat 5: Villan (3075 in chips)
Seat 7: Hero (2925 in chips)
Villan posts small blind 75
Hero: posts big blind 150
*** HOLE CARDS ***
Dealt to Hero [Ah Ad]
Villan: calls 75
Hero: raises 150 to 300
Villan: calls 150
*** FLOP *** [6s Qs Jc]
Hero: checks
Villan: bets 300
Hero????

Do you agree with the check on the flop? If not, how do you generally play in this spot? Feel free to comment about preflop play as well. Thanks.