It's an old Ludwig wood 3 x 13" piccolo.
I have the alloy version which is slightly rare, but you often see the wood version on Ebay. They aren't too expensive.

It's wood, with a silver sparkle wrap.
I've only ever seen one other alloy version.........but then, as I already own one, I don't go out of my way looking for them.
The wood versions (Ludwig Keystone, from the 60's I think, possibly earlier) crop up on Ebay all the time and are reasonably priced (no more than $300 last time I looked).
If you want that sound, I would just watch Ebay and wait for a 3 x 13" Keystone Ludwig to come along.
I think it would be a better buy than a new drum that might not sound the same.