I recently purchased an LS 26 for my bedroom system. It replaced a Jolida Fusion and was a big improvement, more detail and dynamics and a very noticeable improvement in the bass region. I've been wanting to swap it out with my Modwright LS 100 in my main system to see how it sounds there, but haven't had time to do so yet. The LS 27 is supposed to be even better than the LS 27. I would not describe the LS 26 as having an overly "tube-like" sound. Soundstage is a little hard to describe as it's in a small room, but I get a sense of the music being kind of "everywhere" with the LS 26.
No experience with the BAT.
No experience with the BAT.