With that much power it'll be interesting to see how long that 8.2 will last, good luck.

I have a Lok-rite LSD and it's a little noisy, but it works well and doesn't have any friction discs. Best of all you don't have to remove the carrier to install it.
I also wanted to stay with a BOP diff and the Lok-rite fits the small carrier used with the 3.23 gear.