[Pops]

I am not really on top of tire sizes so I only throw things out for consideration. I was speaking to a community college teacher at a car show this summer (he taught some form or auto repair class). He was the one who mentioned the radial tire issue but I've heard it before. It might be a myth. And yes, I run a stock appearance set up (narrow white walls and dog dish caps). I also prefer radials and that's what I run.
Back to considerations, I would stick with your term "reasonable". I would ask questions regarding speedometer, radius, suspension match up, etc.
Sounds like a nice ride you have. Rare too. Good luck on your tire set-up.