Well, I still haven't solved this dilemma! I've tried Remo, Aquarian (Texture Coated), Evans (including Level 360), Attack and have basically given up.
I inquired at my local store (managed by VDF member "nailfoxx") about Remo custom making me a 13 3/16" head. Remo said they could do it, but when nailfoxx got the price quote back from their distributor, it was over $60 per head (street/store price)! Do you believe it?
I consulted Remo's forum, where oddly some employee named "Christian" always responds to the questions. Christian said that $60 per head sounded about right.
I responded back to him to confirm whether or not a 300%+ markup sounded "about right". That's ridiculous! What sane person would pay $120 for two 13" drumheads? You could buy a Keller shell for that much!
I ordered 2 American Vintage heads that will arrive this week, as my last ditch effort to resolve this problem. I am not optimisitc that they will fit. I held a 16" American Vintage head up to a normal 16" Aquarian head at the store, and didn't see much difference in size. I am thinking that I might just find another 13" MIJ tom of the same type (3-ply with re-rings) that is "normal" size with the same lugs (or lug hole spacing), and just carefully take the wrap off of my existing drum and use the wrap on the new, correctly sized drum. I appreciate all the suggestions everyone has given me, I just don't want a lot of hassle when I have to change heads, or have to do some explaining if/when I sell them.
So, does anyone have a 13" MIJ shell that is 3-ply with re-rings they would like to sell, or possibly trade for two unused Aquarian American Vintage Drumheads (ha ha!).