The Hilton at DTD is the closet one. ( I think) We have stayed there a few times, when we have had a change of plans and can come a day early, which is great for early check-in at our Disney resort. It's very nice and comfortable. It is a short walk to DTD maybe 5 to 10 mins based on how fast you walk and who's walking with you. Also they have bus service to the parks.
Be aware of the add ons..when booking, the last time we stayed I think self parking was 20.00 to 25.00 a night and valet was 30.00+. Also there is a resort fee, and other hidden fees. We booked the night at 99.00 but once everything was in it was more like 150.00 so beware when booking. But we where okay with that price as it was last minute.