Well, if your car kicks it out now, a LSD will only make it more tail happy IMO. Open diff cars are a little more stable since you can't get the two rear wheels spinning at the same time for the most part. Even in the snow, it had hard time doing anything fun. It wouldn't even do a dount cause the power was sent to the inside wheel giving the outside wheel better traction killing my dount fun!

In my old 318is I really had to try to kick it sideway in the winter...or rain.
LSD will cause the rear to kick out soooooo much easier. Trust me I know. I had a 325i with LSD in the winter and it was so easy to kick it sideways in the snow. It was alot of fun, but also kinda scary at times. LSD is going to be better for acceleration too since both rear wheels will spin, but you will have to be careful cause usually the rear will slide one way more so than the other.
I don't know if I am thinking about this the right way, but this is from my own experience. Basically, unless you want the car to get sideways easier, go lsd....or just slow down a little bit in the rain.