Detroits rock, no doubt! I run a factory LS in the rear of my 93, and it has NEVER spun one tire, even around corners. It will hold almost as hard as a detroit, until you get one tire really light. For what you are doing either will work, and the LS will be smoother.
I ran a detroit in the rear of my fun truck until I could no longer keep axel shafts in it, and upgraded rear diff. Did not have a detroit for it, so I welded it. I really dislike this, eventually it will be replaced with a detroit.
Michael