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Hello and thank you for using Just answer! I'm Billy and i will assist you with this. Feel free to ask if you need any further info.
Rear transmission.......this means that the noise is coming from the rear side.....center.....(as the sides could be related to wheel bearings.....)
And in this case, i would first inspect the rear differential for any fluid leaks...and top up from the center overflow plug (on differential).....you should use 80w/90 fluid and keep pumping until fluid overflows the opening hole you're adding from...
Other than that....the most likely culprit would be the differential itself, having faulty bearings, or even a bit worn pinion....(bearings are most likely).....in this case, the differential would require removing, and overhauling, and adjusting....or even replacing with a new one or even used from a scrapyard (if available).....
If any vibration is also present, i would check the propeller shaft joints and the flex discs, if loose, worn etc...and these can be checked visually...
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