JB Weld isn't a bad idea. It's used as a homemade and makeshift repair for all kinds of stuff. Surprising how good it works, really. It really can't damage your edges. Edges are made of aluminum, aren't they? We're not talking about some exotic space age material in most cases. It's definitely worth a try... worst that can happen is it falls off or wears out and you can scrape the residue off. Highly unlikely that the bond is good enough to take the edge with it when it goes.
Edges are made from steel, it's why they rust