SB is aggressive pre-flop, but generally straight forward post-flop. He's done things like raise 55 and JTo in the BB after limpers, but then plays it straight forward post-flop (just checks when he misses). Given his pre-flop aggression, he would probably play draws aggressively post-flop.
Dealt to Hero on the Button: K
K
Folded to Hero, Hero raises, SB calls, BB calls.
Flop is J
T
T
SB checks, BB checks, Hero bets, SB raises, BB folds, Hero calls.
Turn is A
SB checks, Hero?