Since we're in this general area of the car, I've got a really nice differential worked out. Seems to work quite well. Costs about $55. I welded the differential spider gears and put the tranny back together. Then I cut the axle shaft on the passengers side of the car in half and installed an over-running clutch from an agricultural use tractor PTO. It's basically a rachet device that's installed in the axle instead of in the diff. In reverse, I'm unlocked. When I get off the gas, I'm unlocked. When I stand on it, I'm welded solid and locked. When the engine RPM's go down lower than the speed of the axle, the rachet "free-wheels". I can drive into a corner as low and sharp as I please without the negative side-effects of being welded, but then I lock when I stand on it.
Seems to work where I race, Not sure about your rules though.
Scott