He likes the blue coat. He just prefers the rainbow coat, though.
And you'd be doing yourself a great disservice to avoid the Evelyn run, for two reasons: 1)Six's most best stories occur with her, and its the most consistent run of Doctor-companion in not only BF, but maybe of all of Who. 2)He actually wears the rainbow coat for the first half of their run together.
Maybe you should just go ahead and listen to the Lost Stories. There's plenty of season 22-23 Six there for you, with Peri, too.
Looking them up, the Lost stories don't sound very interesting. Then again, not a lot of Big Finish does. Anyway, the Sixth Doctor already had his best companion, on TV (Peri) and he already had his best stories (The Two Doctors and Attack of the Cybermen). As far as I'm concerned, his days (unfortunately) ended in the 80s. I liked the set I bought and I'm glad I got it, but to me TV is where the real Doctor Who stories happen. Its where the characters develop and have the best stories.
So, yeah, unless its something really special for a (at least comparatively) very good deal, Big Finish still doesn't interest me much. If I want to experience the Sixth Doctor's adventures, I'll watch the actual canon adventures again, not listen to the licensed fan fiction, even if some of it is good (although they could use some lessons in writing companions, especially whoever created that idiot Charley). They'll never beat the best of what we got on TV.