Have her sleep in the stroller - bring your own comfortable one from home. It's the only way that we did it when my DD was 2 on her first trip.
We actually loved that - my kids were 2 and 4, in our own nice comfy double stroller, mid-afternoon, they crashed, so we found a nice shady spot, conveniently located by the Bawa Bar in DAK (or someplace in Epcot....) had a couple cold beers while they slept! So nice.
We also kept almost normal bedtimes. That was about 7 for DD and a little later for DS, so we'd go back and have our normal bath/jammies routine, so they weren't overtired.
Stayed at the BWV that trip so one night, my son was begging after getting ready for bed to go back one more time to the Big Globe as he called it (Spaceship Earth), so I took him while DH put DD to bed. DS was asleep in the stroller walking back from his ride, but he was so happy!