Trust me, I've tried reseating the keycap quite a few times.
I might try pliers, but I couldn't really get the spring to compress the way I wanted it to with other stuff, because it just wanted to buckle, not compress.
Anyway, outside of the keyboard, with a pen on the spring, the key upside down, into the key, I was able to push down on the spring, simulating a BS mechanism, and it reliably clicked.