I'm really sorry to hear that 2slo, it is such a shame when the rest of the car is so good ☹️
I hope it quietens down for you or Caterham get it sorted soon.
I've just done 1000 miles with the Ford (type) diff, and have a noticeable whine particularly between 50 and 60 mph.
I was thinking of going the BMW route, and took it for the first service. The engineer said the whine was within normal limits.
I'm sure they say this to everyone, so I explained I had the option to buy the BMW diff at a special price, what should I do? He said some of the BMW diffs are turning out noisy and I'd be better sticking with mine one as it isn't too bad.
Fortunately, I haven't got any backlash problems, so I've decided to stick with the Ford style one for the summer, but have bought an old Sierra secondhand diff to get rebuilt and plan to try fitting it during the winter.
Duncan