I thought of a way to take care of that seam if you've got the casting recources to spare...
Fill the seam, but leave the filler above the seam, keeping a ridge where the seam was; that is, don't sand it smooth.
Cast the tire in resin, including the new ridges.
Take the new resin tire to the lathe and sand off/remove the ridges that are now in resin.
You're left with a smooth tire with no seam and no ridges. Now you've got your perfect master pattern.
I hope I made sense. I know it's not the most economical way to go about it, but it will probably yeild the best results with the least effort.