On a Mac how to map caps lock key, to function as a modifier(s) key held down?

I'd like it so when I tap the Caps Lock key to "on", it would behave as if it's holding down cntrl+fnc keys, so when I hit any of my shortcuts I don't have to hold down the cntrl+fnc keys. Then when Caps Lock key is tapped to "off", the keyboard functions as normal again.

Is this possible?