Proshop, the stock Gen 3 diffs are woefully inadequate for hard racing-type use in the Viper. They were originally designed by Dana as highly streetable but still off-road-worthy diffs for the Jeep Grand Cherokee. Between personal experience and in reading the experiences of those here, I have seen failures in just about every manner - cracked cases, broken spider gears, prematurely worn clutches, etc. It doesn't always seem to take racing use to cause a failure so don't blame yourself or your maintenance schedule. I haven't seen your particular thing happen before but if you get it apart you might find it the symptom of a greater but more common problem.
Wheel hop sends massive shock loads through the drivetrain, it would certainly be something to avoid doing if longer diff life is an objective.
You can't really "pull the cover" the way you can in a live axle car. Easiest just to pull the whole thing out. If your diff looks ok but you end up replacing it anyway, I wouldn't mind sending you a few bucks for it, I could always use another spare...