Welcome to the Disney Parks Moms Panel, Faye!
You've hit a home run in selecting Disney's Art of Animation Resort for your upcoming trip to Walt Disney World® Resort and the
ESPN Wide World of Sports Complex. You are correct, this whimsical resort does not offer transportation to the Complex unless it's for a runDisney Endurance Event. However, I would not change your resort reservation unless you are sure the events you need to attend are during the limited days/times Disney's Caribbean Beach Resort does offer transportation: Thursday - Monday 5:00 p.m. to 11:00 p.m. Buses will also run when events are taking place at the sports complex one hour prior to sports complex opening until 11:00 p.m. or sports complex close, whichever is later.
Disney's Art of Animation Resort is actually the closest resort hotel to the complex (2 miles) making the use of services like Uber & Lyft really inexpensive and easy. I've used Uber at Walt Disney World® Resort a lot and have always been super satisfied! Another option is MEARS taxi service, it will cost a bit more, but is Disney-endorsed. Please make sure if you use a taxi, that it is a yellow MEARS taxi. Without dedicated service, these are your alternative transportation options.
I hope this helps, Faye! Please let me know if you have any additional questions. And good luck with the events/activities you have played during your stay.
Faith