If you have two wheels "high and dry" then they aren't touching the ground at all and sending the torque to them won't do anything for you. Those wheels would just spin in the air.
The idea of a limited slip system is that the differential can detect if a wheel starts spinning and it assumes that the wheel has insuffucent traction so it applies more torque to the opposite side of the axel which is presumed to have better traction.
What you are, i think, attempting to describe is a manual version of this.
I doubt a person could make better decisions then the mechanical systems of the vehicle itself without getting stuck first (The vehicle does this all the time and shifts the torque so that you don't get stuck to begin with).
The other option, of course, is to go with a true locker which would apply full torque to both wheels on the axel at the same time so that it wouldn't matter if one had more/less traction that the other. With a locker in both the front and rear pumpkins of a 4WD vehicle you can have full torque applied to all 4 wheels.
With the use of a "Air Locker" type of system you can switch from a limited slip to full-locker system with manual intervention.