J.P.
I have a double, but it's far from a luxury one! I have heard from several sources that you can rent strollers from several companies (Disney included, but I think they carry only one type) that rent out brand-name strollers. You could check that out online- it might be worth it to have one there for several reasons: you could try it out to see if you like it enough to buy one, you wouldn't have to worry about it getting bumped around on the plane, etc.