You’re nuts, but I mean that in a good way.
If I understand what you want, I believe it would be impractical because any coating will yellow as it gets thick…because…
…on one hand, you want it to be transparent and glossy, yet on the other you want it relatively thick (if stone is to be encased). Add to that the fact that it needs to be tough enough for a floor, and I think you are just about out of options.
I think you have real good shot at a glossy durable coating, but I am not real confident you can find a resin, epoxy or other coating that can create a uniform coating as you describe, because it would be thick in parts (where it fills in spaces to create a level surface).
I think the results produced by a product such as the one I posted is about as practical as you can get. Any thick resins and epoxy types that can be poured/spread/leveled and which are suitable for flooring are not available as transparent solutions.
Well, there are options, but not to create the level, encased look you want.