Dayn Starfall

So I need to make a label to wrap around (link to) a circular clear drinking glass. The label needs to be paper thin so that it can be textured on the exterior as well as the interior without that ugly gap between. Is there a way to do this? I know the method where you create two prims, one for the interior and one for the exterior, link them together and use alphas to make it appear to be a single paper thin prim - however this is not an option. So I am wondering, is there another method, some setting in the tube prim that will create this? Or another prim type, ring? That would work? Or is there a paper thin circular sculpt map I could try out (havent found any on the mp)? Any help is appreciated.