Hi,
I'm almost concerned that you're actually bluffing with QQ in that spot against a 27/12/1.7, depending on whether he's capable of 3-betting light as a resteal or not.
I think as a default these days you're better off making a smaller 4-bet to around $3, to give SB a chance to shove on his own if he happens to have one of the few hands you actually beat.
I wouldn't mind you just calling either if he has a 3bet% of 0, since you have position and it's unclear whether you can actually 4bet for value. Just do that instead if you're thinking about 4bet/folding.
Hope it helps.