More Hand Reading Fun

[MLG]

Party 750k guarenteed. I have 7600 with the blinds at 75/150. Second table chip leader raises to 300 from MP with about 4500 behind. This player is very predictable post flop. I know this doesnt have to mean AA/KK. I call in LP and the BB tags along with 1338. Flop is J [img]/images/graemlins/spade.gif[/img]8 [img]/images/graemlins/spade.gif[/img]3 [img]/images/graemlins/heart.gif[/img]. BB checks, raiser checks, and I bet 550 into the 975 pot. BB pushes all-in and original raiser folds. So I guess the question is, what is my range here (although this might be a tough question to answer given the parameters), what is BBs range, and what hands should I be calling with?