I don't see how solder in the signal path can hurt anything. A cold solder in the signal path is a bad thing, but barring those, it's the most electronically transparent way to go.
If you're not going to be moving your system any time soon and intend to keep the same setup, I'd tell you to go ahead and solder your interconnects to your amp and to your speakers. Inconvenient, but you're going to have the best connection there is- a connection at the molecular level.
Also, it's best not to spent too much time chasing your tail with these issues. A layer of tin and lead can be meaningless compared to background noise kicked off by a refrigerator, your computer and the sun itself. We live in a noisy universe and you cannot control for everything.
For me, I can accept known imperfections because I know there are hundreds, if not thousands, of other factors I cannot control for or would be vastly expensive to control for. Instead, do the best you can at a reasonable cost and enjoy the music. That's what it's really about, anyway.