I might have an idea for ya if you don't want to see goop under clear playing surfaces. Etch out 1/8" to 3/16" or whatever size you want with etchings paste. Mask off the middle so that doesn't get the frosted look, and the frost on the edge might hide your glue line.
I haven't done a clear playing surface yet, but I've thought about this exact problem. I think it would drive me crazy also.