Terence,
I've given others a chance to respond, but nothing yet. Maybe they are having some difficulty understanding your question. The best way to resolve this would be to cover the different scenario's. A premature flop...what do we do? First, we must announce that the flop will not stand...next, we must complete the action, (i.e. a player was not given the opportunity to call) allowing the "skipped" player a chance to fold, call, or raise if eligible. The premature flop can not stand, even if the skipped player decides to fold.
The procedure described in the TDA Rules is the best method, in my opinion. You might question why the burn remains on the table and is not reshuffled into the stub, but at least we know that the "proper" burn card will not reappear. I believe the description given is perfect. There is one caution that I'd like to add: dealers, be very careful not to expose any cards during your reshuffle. This will require special attention to avoid the standard shuffle procedure and use a method that would not require any lifting of the cards...a scramble or a nice mix of the cards flat on the table is suggested. A final cut onto the cut card and you are ready for the new flop! Remember not to burn again!
Terence, my guess is, you might rather shuffle in the burn card, too, Is that correct? If so, I don't see that as being an issue, it is not what the TDA suggests but, I'm sure you would still be in compliance because a slight change in a rule does not prevent you from using the TDA Rules. I'm sure Mike Bishop will have something to tell you about this situation. As far as the turn and river, they are both covered in the TDA Rules under RP (recommended procedures). Hope this helps.