You can copy the Profile to clip board, and use Pastebin.com to host them.
Then you can open that, from the other computer.
You'll need to be able to see extensions, and rename the .txt to .xml
At which point, the other computer can open the profile.
Not the most elegant method to transfer mapped keys, but it will work.
You'd need to be sure to rename the 2nd computer to whatever its supposed to be, as they need to be different computers in the profile.

I've never run two systems, so am not sure what your issue is.
Are 5 accounts stable on both systems?
As in only five, on one or only five on the other?
It should be stable, with a five box on one system.
If you get that, then its just a matter of getting the two profiles to launch together and interact.