When my whine existed - at around 25 - 40 mph ..

it was, eventually, tracked down by the following procedure ..
Measure the distance from the top of the wheel arch to the top of the rear tyre
Jack rear of car and place VERY securely on axle stands both sides.
Jack each wheel by a bottle jack under the lower shock absorber mount until the wheel is in its "normal" position by the measurement obtained in step 1 - This ensures the drive shafts etc are in the correct alignment to prevent damage and strange noises
Run the engine and select drive .... I was surprised that the autobox span up to just under 30 mph and 4th gear without touching the throttle .. but it did and the whine was instantly present on mine.
Under the car and pull on the handbrake cables one at a time to stop an individual wheel, as the whine did not stop this discounted the wheel bearings as the source ... and confirmed the diff as the problem.
Replace diff

Given the high speed of your whine you may need to modify the procedure a tad and have additional help .. to get the diff to the higher speeds ...
