Grace, I didn't realize it was you needing the shorter-scale banjo. I'll see what I can scrape up. ( have several in pieces and parts in my basement, most of 'em regular scale (including at least one S.S. Stewart (needs a neck reset, alas) and I'm sure I can find you one.
That one I gave you (which actually came from a neighbor who said, "Find it a good home") is a lovely banjo, so I know what to look for. I have a junky tenor that might make a good short-scale conversion -- I'll look more closely at it to see if it'd "do" over the weekend. It has what your camp instructor said -- no tone ring -- and might be acceptable. I'm sure I can get some shop help from BillD for putting a strip of wood onto the side of the neck where the 5th string goes. I have done this before, so it might not be that hard.
And dog nose the instrument isn't worth much as it sits, even if I put a new head on it. Might be fun to try the conversion. I'll be in touch.