Run a script or batch file in the evening. It can use MSIs ability to do an uninstall using the GUID.
Then reboot.
Otherwise, that's it.
A batch file you could schedule to run at night would look similar to:
Msiexec /x {CE6A85D8-D6B9-479A-9FE9-A06E56881E61}
Where that number is the number in the registry for SSC (that one happens to be for one version of SMS client)
You can place scheduled tasks remotely, too - they can be copied from machine to machine.
Place the batch file in a TEMP folder on each server, schedule it to run at 4am or whatever, then schedule a reboot using a batch file like this:
shutdown -r -f
So if CAN be done, but will take a few minutes work to setup.
BTW - I never ran SSC on servers, only ever on workstations - avoided such things. It was actually intended more as a client application anyway and I think back in about 2000 or 2001 or so I finally got their support folks to agree!
SSC is best on client computers.
Anyway, treat SSC just like any other application you wish to uninstall - using standard Microsoft "features".