"Itchin' and a'Twitchin'" was in MGM Sing-Alongs: Being Happy
I found this out on the IMDB when I was looking on Ashley Tisdale's page and found her on those volumes and found out that out of the TV series' songs, only "Itchin' and a'Twitchin'" has a sing-along version, while any and all other songs from the franchise used were from the first two films ("On Easy Street", "It's Too Heavenly Here", "Count Me Out", "I Will Always Be With You", "You Can't Keep a Good Dog Down", "Let's Make Music Together", and "What's Mine Is Yours").
No wonder none of the other songs from the TV series got a sing-along.