You make the call

[AngusThermopyle]

So, first two players act very fast, call, call. Just as the dealer gives the Button two cards stuck together. Hand instantly dead?

Dealer made a mistake, so player has to pay the price.
Nice.
Don't forget to tip.

Oh, by the way. There is now one extra card dealt. Does the dealer burn before putting out the flop?

I think my solution is fair and in the spirit of the rules (including the fact that the flop is now "correct".