Unless you are skilled in wood prep work and refinishing, step away from the work bench. You are opening a can of worms that will do nothing but disappoint you when all is said and done. I refinished four very cheap drums by removing the wrap and you have no clue what sort of wood is under that wrap for the exterior layer. It could be a poor layer that will not sand or stain properly
If it has a wrap, chances are the outer ply of wood will not have a nice grain and even a dark stain will not look that to good. A drum company won't waste a nice looking, even grain veneer on a drum that's getting wrapped or a solid color finish. Birch can have a lot of dark and light grain in the same piece.