I've been told that tubes provide smoothness and warmth that can't be found in ss amps.I would certainly agree with that statement. Yet because it is specifically punch & detail that you don't want to give up, I would advise sticking with SS. Others will tell you "my tube amp drives like mad, has incredible detail, etc.", but they won't equal your Levinson in either department. In fact, as much as I love McIntosh as an ideal match with Klipsch, even their SS amps won't be as detailed--nor are they quite as sculpted in the bottom end--as your Levinson. But they would be smoother & warmer.
I think your idea of using a tube amp for the La Scalas is certainly worth trying. What sort of budget are you thinking? I'm thinking that a push/pull tube amp might be best, only because of the relative 'speeds' of the amps. Others may have a different opinion. Again, the addition of a tube preamp can also help greatly to infuse that smoothness and warmth you are wanting.