I'm picturing a homebrew box with the banana jacks as you mentioned and a switch to select the desired amp. The output would be to two sets of eylet terminated wirers, one for each amp. Is this correct?
The good news is that your switchbox won't handle any significant power. The REL presents a high impedance to the speakers and no significant current flows to the sub. It merely senses voltage at the speaker terminals.
As long as both amps have common ac ground you can get away with switching just the right and left channel hot leads (the third is ground), so a DPDT switch will do.
To be honest, I don't know where to look for an audiophile grade version of such a switch. You can look online at places like partsexpress.com.
As others above have mentioned, you can use a simple speaker switch for this. Hook the REL to the "amp" terminals and the Two power amps to the "speaker" terminals (i.e., backwards). The switch won't handle any of the power going to your speakers.
I don't think you have this problem with your amps, but beware that the REL only works on amps that share a common ground between channels. Some amps use floating outputs, and the REL hookup will cause problems.
Good luck!