[SeaEagle]

Wow. You confused the posters with your 3-bet here. There's no consensus on this hand at all.

My $.02.
The flop bet is mandatory. It's extremely poor poker to check this through.

I don't like the 3-bet at all. Maybe you had stronger reads than you indicated in your OP. What makes you think neither BB or UTG have an A?

As played, fold to any extra aggression, except you can wait till the turn to fold UI to a flop cap. Lacking aggression, bet the turn and check behind on the river.

Make a note on UTG. c/ring on a full bluff with 2 people already in and no immediate fold equity is an uncommon play.