Early in 33, bad reraise with AA??

[jadducci]

I think I usually Re-raise this all in preflop but decided that I could maximize my value by getting moosetard to put half his chips in and then push on the flop. However the extra caller and the less than stellar flop created some problems. How would you guys play this differently?

Blinds(10/15)
** Dealing down cards **
Dealt to Hero [ Ah As ]
>You have options at Table 15044 Table!.
Bofaa is all-In [170]
MoOsetard calls [170].
frankgc450 folds.
Hero raises [350].
abmsllc folds.
shorblyjoe folds.
CasinoJim46 folds.
westernt calls [350].
tdiddy2000 folds.
golfbully folds.
MoOsetard calls [180].
** Dealing Flop ** [ Qd, Td, Jh ]
MoOsetard checks.
Hero checks.
westernt is all-In [410]
MoOsetard folds.
Hero calls [410].
** Dealing Turn ** [ 9h ]
** Dealing River ** [ 7d ]
Bofaa shows [ Jc, Js ] three of a kind, jacks.
Hero shows [ Ah, As ] a pair of aces.
westernt shows [ Ks, Kh ] a straight, nine to king.