graywolf thank you for your response, this indeed does seem to be what I want.
Since I’m on a Windows host, I went in and modified the keyboards file with the 2nd line you posted:
English (United States),0x0409,US,en_US,,ctrl:swapcaps`
But it still doesn’t seem to work.
The steps I took:
Changed my setxkbmap back
Then I shut down the NX session
I modified the keyboards file to include the line above
Reconnected to my linux client
I tried with and without the backtick at the end of the line and they both didn’t work. Should I be restarting my client?