Tom,
Good to see you on the board.
My experience goes hand in hand with what I've read about the typical clay dish. They are quite stable if you heat them slowly at first, raising the temperature slow enough that entrapped moisture can evaporate. That prevents cracking. I used to place a new dish on a low flame on my hot plate and let is sit for maybe 15 minutes. I would then place it on a rest (block of asbestos in my case) and heat it with a rosebud, slowly, running the torch in circles around the dish. When the entire dish was up to a low red heat, I would then sprinkle borax on the dish and melt it with the torch. A thin film is all that is desired, otherwise when you pour off the values, flux goes with the metal. You'll come to realize how much is required the first time you use the procedure.
If you use your melting dish only on occasion, I suggest you always heat it slowly before putting it in service. They have a way of absorbing moisture when not in use----and are subject to cracking, much the same as a new one. That's pretty much the same procedure that is advised for graphite/clay crucibles.
Considering you'll be melting silver that has been recovered with copper, you'll get some copper oxide in the flux. That will make it get thicker and thicker each time you use the dish. The process of cleaning the dish using soda ash can be applied to rejuvenate the dish, although at a slight loss to dish thickness. Before cleaning is necessary, you can usually add more borax to the dish to keep it in operating condition. The flux coating not only absorbs some of the oxides, but also lubricates the molten metal so it pours well. When some starts sticking to the lip of the dish, it's time to refresh the coating.
I suggest you use borax glass, or anhydrous borax. It melts without all the frothing and blowing about that you get with the light, fluffy borax that is commonly available. Both do an adequate job, however, so it's just a matter of convenience. It isn't easy to find, and is not cheap, but it's worth the effort if you can find some.
Good luck! Running a silver cell is lots of fun. Make sure you have an adequate filter bag, so the slimes can't mix with the recovered silver. If you've used any of the silver for inquartation and have processed any dental gold, could be you'll recover some platinum and/or palladium.
Harold