[levAA]

I also think shoving 23BB over an UTG+2 limp is a little overplayed.

An open-limper can of course be a slow-played big hand like KK+ or (as seen often lately) AK, but most of the time this is a medium or even small PP, or some kind of drawing hands like QJs.

So we want the majority of these hands to come along.

If we over-push here we achieve the exact opposite as we wanted to do - we chase off the weak hands.

QQ is one of the easiest hands to play postflop, so as jammydodga already pointed out making a normal sized raise of about 1k is more than enough.

I think you loose a lot of value by over-pushing big hands in spots like this.