I have very similar problem, here is some history:
I bought certified 1999 323i 2 months ago.
I noticed high whine coming from the rear at highway speeds.
After doing some research I found that there is a BMW TSB (I assume then it must be a know issue) on this problem. After back and forth with the dealer, they replaced the rear differential.
The good news is that the high whine is gone, the bad news is that I still have the noise you describe, I can only describe it like a noise from winter tires. The dealer also tells me that it's tires, I don't accept it.
They changed tires and the noise is still there.
I am still wrangling with the dealer.
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