Not raising with KK on good flop

[MrEngenic]

I believe you are referring to SSHE, "protecting your hand when the pot is extremely large".
I'd say your line would be good if you replace the Q with a 9. Then waiting for the turn would be spot on. A flop raise would not protect your hand.

But with the Q you can not count on BB to bet a hand that is worse on the turn. Based on his preflop stats I would say he has TT-AA or AK. He will bet AA and QQ on the turn for sure but I'm not sure about TT, JJ and AK. With no Q he will bet with everything he 3bets preflop with, maybe not AK.
So raise the flop and collect extra bets, don't worry about protection.