I don't think you need much compression at all, just enough to keep them from swelling. They aren't going to be super taxed (high loads for extended durations). If they're properly cared for they shouldn't even swell I believe. Its only upon over-charge or over-discharge that they become a problem.
I doubt soldering will work. The one tab is aluminum and the other is copper plated with aluminized copper I believe. I'd also be very careful about heating the cells up.
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