I'm with everyone else on this one...just find a bench where you can be comfortable.
I will say, however, that when I was having a little trouble with my DS at the mall (he was always distracted by people around and was having a hard time nursing) I at times asked to "borrow" the fitting room for a few minutes at the babyGAP (and a few other stores, I'm sure). I was never turned down and folks were more than happy to help, telling me to take all the time I needed. I tried to get my errands done between feedings, but with little ones eating every 3 hours....well, you know the drill! They're hungry when they're hungry! So perhaps you could ask to use the fitting room at World of Disney if you really need a quiet/less distracting place.