Heck yea you can bring them. We brought ours, parked them in the stairwell and chained them to the railing when we weren't using them. We rode all over the place on our bikes. The only place we had to get off of them was Downtown Disney. I highly recommend the bike/hiking trail that connects SSR and OKW. Ask the golf pro shop for directions to it. You will love your trip so much more because of the bikes.
THANKS! We have been to the resort many times already but never thought about taking our bikes until we took some family members with us from PA and they wanted to tour the resort on bikes. We are heading back down to SSR I think that one is the Oct. trip. (got a few coming up right now and my brain gets all muddles up )