National/Alamo has locations at the Dolphin and Car Care Center near the Polynesian. Check their website for hours, they are not open 24 hours like the airport. I think Avis has a location in one of the Downtown Disney hotels.
We did this in March. Rented from National at the airport, used it for a three day weekend, and then dropped it off at the Car Care Center on Property. There will be a shuttle available from there to bring you back to your resort. (You can rent from Alamo, and do the same thing.) Just set it up this way when you do your online reservation. (different pick up and drop off locations). Very easy, and does not cost extra.
Our Authorized Disney Vacation Planners are here to provide personalized, expert advice, answer every question, and uncover the best discounts.
Let Dreams Unlimited Travel take care of all the details, so you can sit back, relax, and enjoy a stress-free vacation.