Unfortunately, you may be on the right track. The rear differentials on these vehicles have a track record of having a whine from the ring and pinion. There is a technical service bulletin that addresses this noise (05-23-03). There is a revised ring and pinion kit to repair the noise.
However, noises are always tricky and I hesitate to through confidence behind this particular "web diagnosis". I would always suggest a qualified technician hear your noise first hand and determine what may be causing it from a first hand opinion.
https://repairpal.com/directory?address=40241&car_brand_n...
There are some shops near you that you may consult. Good luck!