I suppose one of the things you need to consider is if you're looking for a character experience or a dinner show w/ some audience participation & good food. I don't think there are characters at Hoop Dee Doo - although the performers are very funny & lively & there are lots of fun antics.
We stayed in a cabin at FW last year & plan to do the same this year, and I've yet to manage to fit Hoop Dee Doo into our schedule. Although we'd love to see the show, it seems like both years, it's come down to the same thing for us - 2 dinners or 1 dinner show - and we've chosen the 2 dinners.
Some day, though, we'll schedule Hoop Dee Doo too!
For what it's worth, we love Liberty Tree Tavern. It was DH's favorite character meal last year. It's become our "first night" dinner, & we couldn't imagine going to WDW & not eating at LTT. We really enjoyed the food (except for the mac & cheese), & the character interaction was wonderful! But everyone's different, & everyone's experiences will be different too. We also like Chef Mickey's, and eat there on our last morning for breakfast. (We start our trip w/ LTT & end our trip w/ CM's.)
Could you maybe schedule Hoop Dee Doo & then pay out of pocket for breakfast at Chef Mickey's if you really want to do both?