yep, for sure just water(deeper) will be fine, but if you are pouring substantial amounts(15-20 oz and up) the water will warm and if the reservoir is not deep enough it will go globby instead of bead or cornflake, the ice does make better and finer shot if used but its not essential.
If you only use a glazed dish for melts with shot and a minimum glaze on the dish your poured amount should be nearly always be the same as your measured amount. The only time I have experienced differently is from melting cement silver in a dish, you will always lose some in the flux due to Ag crystal particle size. I recover this by putting my dish in my furnace with a few ounces of shot with some extra borax and give it an extensive burn, pour out the metal then clean out the remaining borax with an high pressure flame from a torch and re process that. Some favour doing the same but using sodium carbonate instead due to its fluidity, it is reported to clean out melt dishes very easily, and sodium carbonate flux is water soluble leaving your metal for an easy clean up instead of dolly/dilute sulphuric to recover from borax flux. I have not used the sodium carbonate method, my highly respected peers put me onto it but it is reportedly an aggressive flux. I have just made my sodium carbonate and when I have some time off I will try this next week on a fused silica dish and crucible. Anything that makes my clean up easier is more than welcome at no more cost than boiled water.
Goldeneye, get yourself a small amount of casting sand or if you are into diy make your own(see youtube) and press yourself a simple mold but make sure its level of course, I started with sand casting 20 years ago then moved into investment casting, I made some great solid ingots in casting sand from StgAg pocket watch that I found outback prospecting, I removed the knob winder thingy from the top first and soldered that to the finished ingot to keep some providence and the hallmark, drilled a hole through and handmade a bale for a chain to go through. Real piece of rugged jewellery, the sand finish that the casting leaves gives a nice finish, I bevelled the edges and gave it a polish. Don't have it anymore, it also happened to fall subject to the desires of my first forays into refining silver.