Hi Patrick,
Thanks so much for visiting the Disney Parks Moms Panel with your questions!
Fantasmic! is such a great show. Dancing water, laser lights, and so many Disney characters make this an amazing experience. I checked, and 50's Prime Time Cafe will accept their last reservation for dinner at 7:00 p.m. on October 27, which is the time of park closing. Perhaps you can make an earlier reservation for dinner, and then head over to enjoy Fantasmic!
As to where to request a room at
Disney's Saratoga Springs Resort & Spa, the Springs area is closest to the main area, including the lobby, High Rock Spring Pool, Senses - A Disney Spa/Fitness Center, and restaurants. If you do not have a car, it might be wise to request this area since you will be in close walking distance of so much to do. The Paddock area is slightly removed from the hustle and bustle of the main area, so you may find it more quiet there. The Paddock does have The Paddock Pool. If you do decide to make a request for your villa location, please do know that while Disney will do their best to honor any request, they are only requests and are not guaranteed.
I hope that these thoughts are helpful for you, Patrick. Have a great time planning your vacation, and please do not hesitate to ask if you have any further questions!