Bill Tindall, E.Tn.
Holly would be the traditional wood for white banding. It is limp by comparison to maple. Soft maple is not a bad choice. But 1/8 x 1/8 is a small cross section and I would think it limber enough.
Traditionally the way banding is bent, like for a tight curve, is over a hot mandrel.
Proof is in the pudding. If you cut the troughs and the banding sticks in a dry fit you know it will stick with glue added.
The Steve Lattta video on stringing available from Lie Nielsen is a good primer.