Ascension isn't one of my favorite Trane albums. Once every five or ten years is enough for me, but I do find Tchicai one of the highlights. Crescent is probably underrated. I love Sun Ship, but I prefer Transition.
Having been a Monk coverer myself, I must say there are lots of Monk covers I like, but especially Lacy.
I find most of Braxton's standards albums a total bore. He sounds like a poor man's Konitz on these to my ears.