I believe his version is from the album Disney Songs The Satchmo Way from the late 60s. If you like Armstrong and Disney, I highly recommend it, as he sings Zip-A-Dee-Doo-Dah, Heigh-Ho and Whistle While You Work, 'Bout Time and Ten Feet Off The Ground, Chim-Chim-Cheree, Bibbidi-Bobbidi-Boo, The Ballad Of Davy Crockett, The Bare Necessities, and When You Wish Upon A Star. I highly recommend it as it's one of my favorites.
As for the Sherman Brothers CD, I think it's a great compiliation and all the songs are in pristine sound. The only glaring ommission to me is perhaps one of their first and biggest projects - The Sword And The Stone. I would have loved to have seen Higitus Figitus, That's What Makes The World Go 'Round, and Mad Madame Mim on here.