I have a fun little job

At the moment I'm thinking to epoxy (or summat) the tile to a board (MDF?) frame that, then finish with cork on the base.
I haven't seen them yet, and I'm not yet sure whether they want the tile to be flush with the front of the frame as that changes things, but does the above sort of in the right direction?
I've found lots of threads to frame tiles, and a couple for coasters, but I haven't found one that combines the two.
Thanks!