I've tried hacks to the mod name before and they didn't work to do anything but crash the game on load. Toffer said he had the same problem with that as well so I didn't try TOO hard to sort it out further when that's what happened with my efforts.
I think you can fix it easily by making a directory junction to the mod folder:
Code:
cmd.exe
cd <Path to Beyond the Sword\Mods>
mklink /j <Different name of the mod (C2C in my case)> Caveman2Cosmos
This will create a new "folder" (junction) to the existing folder (Caveman2Cosmos mod folder). To the game engione it will appear transparently as a differently-named mod. Hope it helps.
More on mklink: https://docs.microsoft.com/en-us/windows-server/administration/windows-commands/mklink