Ok, you said that you installed the game, and tried to launch it, so that means you have a shortcut for it? Or did you try to launch it through BtS?
Right click on your shortcut to launch BtS. Select the last option (Properties), click on the button that says "Find Target"
This will open a folder for you. In that folder there is another folder titled "Mods" Leave this window open.
Now, go to C:\Program Files\Firaxis Games\Civilization 4\Beyond the Sword. You should have just a folder called "Mods", move this folder to the other one you opened up (it should say "there is already a folder by this name, do you want to overwrite?" Respond Yes).
Now you can launch FfH from BtS.
If you post here what the file path was for where you moved the mod folder to, I can tell you how to set up a shortcut which will launch FfH without loading BtS.