Quote Originally Posted by a500lbgorilla
We should always check behind with TT-KK.

Monty, you even said it yourself.

"I fold to anything larger than a 2xmin raise. If he flats it, likely I'm facing a pair of Aces and will not bet again unless I improve on the turn. "

We're not cbetting based on relative hand strength but we're cbetting for a reason. Betting to have better hands call, worse hands fold and always muck to c/raises seems like a bad reason.
The original statement of the problem is that we are OOP, so we can't check behind. If we are OOP, we should check/call for 3 streets with
TT-KK??? Doesn't this turn our hand face up to the villian??? Can't a villian then say to himself after the first check/call? He doesn't have an ace, I can rep the ace and push him out of the pot?