My $.02......
I would swap the Detroit Locker into your current rear axle.
IMHO, I feel it would be less work. You wouldn't even have to take the tires off the truck just to swap the diff. There shouldn't be any pinion depth change, and setting backlash on your R+P is a snap with the FF 14-bolt. And yes, the shocks are outboard mounted on the C/K20 series trucks.
If you swap in a 3/4-ton axle housing you will need to move the spring seats, as well as cut the shock mounts off of the OEM 1-ton axle, and weld them to the 3/4-ton housing.
Also, the 3/4-ton housing maybe lighter (thinner thickess tube) than your 1-ton. I don't know this for sure in your case, but there are some cases where it could hold true.
What about brakes? Are the ones on the new axle useable? Are they the same size as the 1-ton? I doubt they will be bigger, and could very easily be smaller.