I haven't messed with it yet, as I'm still new to S2.0, but you could try messing with the envelope filter for the snare. I used to trim extra ring from my toms and kicks all the time on 1.0, and I assume the 2.0 filter can do at least as well if not better. Just start cutting that decay time till it sounds right. May or may not work depending on the snare.
I've found that my favorite kit on 2.0 so far only uses the avatar samples for most of the crashes and the toms. The kick, snare, hats, and ride are all x-drums of 1.0 instruments.