100NL live, BB with QQ -- what's the plan?

[Javanewt]

100NL, live, 10-handed

Hero (~$50)
Villain (~$55)
SB has both covered, but not by much.

(Ignore the stupidity of not buying back to $100 yet.)

Hero is tight aggressive. Has shown down mainly decent hands or bet opponents off draws.

Villain is more LAG. Raises pre-flop often. Has been caught c-betting with nothing and chasing.

Folds to Villain on button who raises to $5.

SB calls. (SB will call with suited connectors, maybe one-gappers, small pocket pairs, Ax if x is >10 or maybe if suited, etc.)

Hero is in the BB with QQ.

Call, re-raise, or push? If you raise, to what?