I had a tank die and I had to get a new one, I had two fish to keep alive at the time. I put them in a large plastic bin (we had to take the old tank to exchange it) and filled it with water. I put the filter media, plants, bag containing the gravel and the ornaments in there as well. I had no time to do a fishless cycle, but I put the old media in the new tank, set it up and did a 40% water change every day. I did that for a week to dodge cycle spikes because I have no way of testing to know when the ammonia's getting high.. Both the fish were fine. (Platy and bristlenose, both pretty tough but I still would have killed them if the filter media had uncycled itself in a day without filtration or aeration.)
I suppose the real issue would be the ammonia supply though - nothing can live without food and cycle bacteria eat ammonia. I had the media in the same box as the fish it had been cleaning up after so they would have supplied it with enough. Would it be important to put ammonia in with the filter media?
Oh, and do you have to take biorings out of the tank if you're medicating? I've never had to dose the whole tank. So no clue here!