Cold caller 4 bets my 3 bet QQ, 200BB+ deep

[HBomb]

I've only been playing with this guy for a little bit, but he seems to be very sporadic while at the same time making very solid plays for big pots. I've only seen him play donkish a couple of times multi tabling but he manages to keep a nice stack. I really didn't know exactly what to put him on cold calling like this and then reraising me while we were over 200 BB's deep already.. what do you make of this? Do I call, fold, or shove preflop?



Poker Stars, $0.25/$0.50 NL Hold'em Cash Game, 6 Players
LegoPoker Hand History Converter

Hero (SB): $114.35
BB: $30
UTG: $46.55
MP: $67.50
CO: $60.35
BTN: $188

Pre-Flop: Q[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/spade.gif[/img] dealt to Hero (SB)
2 folds, <font color="red">CO raises to $2</font>, BTN calls $2, <font color="red">Hero raises to $8.50</font>, BB folds, CO calls $6.50, <font color="red">BTN raises to $36 Hero???