I think you are, in a worst case scenario, looking at the lesser of 2 evils. Personally, I would go ahead and put the fish in the tank. The potential damage caused by chlorine will be far less than that caused by high ammonia in the bucket. If you have an airstone on any of your tanks, put it in this one and run it for a day. The chlorine will dissipate in a relatively short time. It wll usually dissipate in about 24 hours without aeration. As someone already mentioned, carbon will also remove it but you would need to make sure it was new carbon and not old stuff that has been in the filter and is already saturated. Some people such as Esfa, never use dechlor anyway. Personally, considering the cost, I'd rather use it and be safe but the fact remains that people run tanks without it all the time.
You may end up losing some bacteria but even if your tank completely uncycles, which I don't think will even be close to the case, you can still use media from your coldwater tank to jump start a new cycle with the fish in once the chlorine problem is gone. Once you put the fish back in, just keep a close check on the ammonia and nitrite levels until you are comfortable that you aren't going to have a problem.