Simon,
We recommend a couple of oils for tranaxles with LSD. Swepco 210 is a very good petroleum based product that has been very durable. If you are anticipating on really running this gearbox hard, check out the LE 9920. This is a full synthetic that I personally believe to be the best lubricant on the market currently. It is not cheap, but then the best products usually aren't.
Let me know if you would like to run with either of these. I have them both in stock.
Warmest Regards,
Erik Johnson
Carquip Sales
(303) 443-1343 ext 2 work
(720) 980-9407 cell