The only Disney Transportation to Wide World of Sports is from the MGM Studios.
I think it runs something like 8am - till 8pm from MGM Studios and back.
So from your resort you would have to take a bus to MGM, then transfer to a bus to WWoS.
If you want to get to WWoS from Downtown Disney, your options are:
1) WALK to Saratoga Springs, then a bus to MGM, then a bus to WWoS
2) a boat to POFQ/Riverside, then a bus to MGM, then a bus to WWoS.
3) a bus to the Boardwalk, then WALK/Boat to MGM, then a bus to WWoS.
4) a bus to any other resort, then a bus to MGM, then a bus to WWoS.
I hope the team has independent transportation.
Carol