From what I've read, Boucher sometimes used oak and I believe modern reproductions sometimes use oak. Others who know more about this than I do can confirm or refute.
If you've never made a 12-13 inch rim before, I'd suggest just slicing up a drum shell instead. I steam, bend, and bake rims and every step is calculated, complicated and always risky. If you do bend your own, yes, red oak is good. And don't use a board with grain run-out, it'll snap. Good luck.
Oak and Ash are main rim woods. Although they are VERY hard, they have a peculiar and straight grain that will bend. The skin thickness, bridge height and thickness and scale length have more effect on the sound than differences in wood.