We have had this issue before as well. We have found it is just easier to take a taxi to the race. The resort will call one for you. The time I did the Expedition Everest Challenge, I took a cab from OKW to AK, and I want to say it was around $22 plus a tip. Maybe you could see if anyone on the board is doing the race and staying at the Swan and you could share a cab fare?
We will be running the Halloween 5K this year, and are staying at BLT, so we are planning on getting a cab there. The kids are doing the kids races at Wide World of Sports, and I'm guessing we'll have to take a cab from AK to the WWS. MAYBE I'm hoping they have busses from one to the other since a lot of folks might run the one, then take their kids to the other as we are, but I've got the cab as our back up plan.
After the race you should be able to get a bus back to your resort, as they will probably be running by then.