The edges you are concerned with shouldnt give too much trouble using edge banding. The curves do not seem very extreme. I have edge banded a 6" radius curve both convex and concave before using both contact cement and iron on edge. Any tighter than that and i would worry about cracking and delamination.

CHRIS, Charlottetown PEI Canada. Anytime you can repurpose, reuse, or recycle, everyone wins!