Even if you could get a solder inside the spring mechanism (I don't know if anyone does that), it's never going to hold up to that abuse, it'll pop just like the original. I hate spring hinges.
Here's an interesting looking fix that was just featured in Envision magazine:
https://www.myspxfix.com/. I'm having trouble swallowing the $30/pair thing though. Probably intended as a consumer fix.
Yes the only solution is extreme frames. The ones you suggested drk look almost identical to a line I have Nano Vista
https://www.alternativeeyes.com/catalog/nano-vista. They are next to indestructible, very flexible, the fronts/endpieces/temples are all mix-and-match interchangeable and replaceable, and they come with two kinds of activewear straps. I only started carrying them 6 months ago but I'm very impressed. I think both lines are a better-looking than the venerable Miraflex
http://miraflexglass.com/products/
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