I went through the what diff to use scenario nearly 12 months ago now. My Titan LSD had no preload at all after 13,000 klm's it was very quiet though, no gear whine or bearing noise and it would still lock if driven in a spirited manner. I read everything i could find on LSD's available for the Caterham, i was quite impressed by the O.S. Giken differential but none were available for the BMW 168 carrier at that time, they may be available now though. I spoke to the distributor in Italy of all places and he told me they have made them to suit the 168 diff in the past.
After a conversation with Ollie at RRT i opted for a Drexler diff centre set up by Ollie to his spec's for a Caterham. My first drive with the Drexler i nearly shite myself, shuddering when doing a 3 point turns, clunking and it seemed like the diff lock up didn't want to release and when it did i was very noticeable. I have 17,000 on the car now and in all honesty i would now insist on a Drexler diff, set up by Ollie, for any future Caterhams i get. The only time i know it's there is when it saves me from my own stupidity going to hard into corners.