I have used a number of different epoxies over the years in model building and mold making. I don't really care for ployester as it gets brittle with time and more prone to cracks than epoxy.
There are a number of epoxies that would work, but you will not find them at your local box store. They sell mostly glues and never any casting resins. You might want to check a local foundry supply. They carry a number of casting resins. I also bought some of what I use from a manufactor, it was one that you don't find locally. MArine supply normally carry West Systems or System 3, which are very good epoxies.
There is a wide variety available. There are different mixing ratios, working times, set times and cure times. I use epoxies that have 1:1, 1:3, 1:5, and 2:7 mixing ratios. The 1:1 is pretty fleixable, can be 60:40 or 55:45 and still work, basicly get it in the ball park. these are what you find at the home centers. The others that have the 1:3 and 1:5 are more exacting, but not a problem to measure using a simple balance beam.
Since epoxy generates heat as part of the curing process, you will need one that has a long working time to cast something the size of a platter. There are some resins made for this (I have seen up to 8 hours set times), where the typical home use 30/60 min epoxy will generate too much heat mixed in that volume and gel within a few minutes.
The other thing with epxoy is the cure time before machining. While the "set time" may be a few hours (4, 8, 24), the cure time is seven days for most that you will find. Some of the casting resins used in foundries can be cured quicker at 300-500 degrees f and there are some that will only cure at those temps. These would definately be outside your wants, unless you want Walnut charcoal. Once you do get it machined, you can wet sand it down to 2200 grit for a "glass" finish. I use my normal wood turning tools when I turn it and treat it the same as wood. I do keep the tools sharp on my Tormek and can get very clean surfaces.
The best thing would be to contact a resin supplier or specialty house and see what they have available. The prices are also better than buying small quantities from the local box stores too.
Good luck in your search,
Fog