AK hand from home game last night.

[luckyplayer]

We play where everyone begins with t1000, blinds increase every hour. 7th hand of 1st level. Villain is solid player. Limps pocket pairs, but will sometimes limp with most broadways early. Usually doesn't raise without solid hands. Will raise with weaker hands as blinds increase.

Blinds T10/T25
SB (T925)
Hero is BB (T915)
UTG (T1000)
Villain is CO (T1000)

Hero is dealt AKs
UTG calls, 2 folds, Villain raises to T75, 1 fold, SB calls T75, Hero reraises to T250, 1 fold, Villain calls T250, SB calls T250.

Flop comes 3s 6c 9d

SB checks, Hero?

Also, should I have played it differently preflop?