[Small Fry]

So you have 5 cards for the flop, turn and river, the 3 burn cards and about 16 mucked cards all mixed together? And you're unable to identify any of them?

1. If I could positively identify some of the cards I would pull them out. They would retain their position, ie. if it's a mucked card it stays as mucked, if it was the turn card then it will still be the turn. If there is any doubt about a card it goes back in the deck. I would then reshuffle the remaining cards and deal a new board. And make sure the dealer follows proper procedure.

The goal here is to maintain, to as much degree as possible, the original outcome.

This is important so I'll state it again. If there is any doubt about a card it goes back in the deck for a reshuffle. So if you ask about a card and get "I think..." or "I'm pretty sure......" for a response, then it goes back in the deck. And it might just be easier to put them all back in and deal an entire new board. Going to depend on how badly everything is messed up.