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This is a good spot to c/r. You'd rather not have button hanging around.

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Are you expecting BU to fold to CO's instabet?

I expect the muppet BU to be with us on the turn a lot.

I think, c/c the flop if BU is still in.
c/r if it's HU or CO checks.

Bet\fold the turn UI.
c/r improved if BU is still in.
I bet bet/call HU improved.

EDIT: I'm not stoked with a c/r on the flop other than HU.
I'm going to have to call a 3bet and c\f the turn UI. I think I'd rather save that 1BB and keep my hand hidden for the turn.
2nd EDIT: If my c/r is called on the flop. I'm still bet\folding the turn UI most of the time anyway.