When to Auto bet

When making a preflop raise with AK, AQ, KQ, etc and you miss the flop completely, under what circumstances do you NOT auto bet the flop when checked to? I know heads up is probably always a bet, but with 3 or 4 or more what do you do? Does it depend on how coordinated the flop is? Does it matter if you are first to act, last to act, middle?