i think the whole point of the thread is OP asking whether to:
1. do the obvious thing and just shove, or
2. build a side pot and attempt to bring UTG in for value
i don't think OP is worried about being in front.
raise pre to $140 is perfect imo. UTG+1 is AI regardless. do we really want to be pricing out UTG when holding AA? No way! We want him in this pot
there are several reasons to shove here (nice main pot already, only have a single pair at this point, wet flop, charge draws maximum amount, get hero calls from pp who read you for AK)
but there's also a few reasons to build a side pot. by raising to 140 pre, our plan was to bring UTG into the pot and extract max value from him. by shoving the flop, we
may be losing substantial value.
shoving is the easy play, but is it the best play?
short answer yes. if V has a str or flush draw, Jx or Tx, QQ-KK then he may talk himself into calling a shove. you will have forced him into the wrong play and charged him the maximum penalty for doing so. and if he says that a Q makes a straight for him on the turn, you could almost believe him. AK fits the betting well PF and is definitely in his range, even with you guys holding AA & KK.
Cliff notes: the only extra range that u might entice by checking behind on the flop (or betting a smaller amount to entice action) is 99- and I doubt that it is worth allowing the QQ-KK, draws, Jx, Tx range infinite odds to improve, just to bring a few extra hands into the mix.