Hi, Jana!
It certainly sounds like you have a lot that you would like to experience during your Walt Disney World vacation. I know I am always on the go when I visit the Walt Disney World Resort because there is just so much to see and do!
The performance of
Rivers of Light at Disney's Animal Kingdom lasts about 15 minutes, and it is approximately a 15-minute drive from Disney's Animal Kingdom to Disney's Port Orleans Resort - Riverside. If you are going to attempt to make it from Rivers of Light to your
horse-drawn carriage ride, I would definitely use the
Minnie Van Service, as it is usually the quickest way to travel around Walt Disney World property. That being said, I think you are going to be cutting it very close to arrive for your carriage ride on time. Since many guests are leaving the park at the conclusion of Rivers of Light, it can take some time to travel from the show viewing area to the park exit. Also, traffic conditions can make your drive a bit longer than expected. If you can fit it into your plans, I might suggest viewing Rivers of Light on another night.
I think your plan to catch a
boat to Disney Springs after your carriage ride sounds wonderful! I have stayed at Disney's Port Orleans Resort several times, and I always enjoy this relaxing and convenient form of transportation. The hours of operation for boat transportation vary due to weather and water conditions, but in my personal experience, they usually run until around 11:00 p.m.
Have a magical day!
Samantha