I'm making a copy of this wine rack out of walnut:
If not, what about steaming them and using a gorilla glue that is ok curing in water? I'm thinking that is the way I'm going to go. Looking at the picture, the only hard radius are the ends where you wrap a full 90 degrees on about a 2" radius. The others I think would bend find dry with glue.
Additionally, I just found this site which seems to indicate that at 1/16" thickness, I can bend to a radius 20-30X that thickness. That would be
1.25" - 1.875", which would be great, and it shows black walnut as being a decent wood to bend, not the best but not bad.