This description of a rear end noise is new to me but I'll try a suggestion:
It's this style - right? Is the differential one piece or does it go to drive shafts for rear wheels?
It may help to hoist drive wheels and safely have up such that you can allow it to run in gear - get under and listen for area if that helps at all I don't know.
Careful of moving parts but you can use a listening rod like a stethoscope that can be telling. Please use all care and judgement - none of us want anyone hurt over something!
Could this be a brake issue?? Stranger things have happened. If gears are really suspect then removing cover and taking a look would help the diagnosis. They shouldn't show any "pocking or galling on surfaces" and that would call for replacement. Whistling/whining is not all the common to me from rear end troubles. Just the luck the draw.
I have no doubt that Hammer is better at this issue than I am but in the meantime the more info the better to exact the fix,
T
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Tom Greenleaf - MetroWest, Boston