We often stay at the International Plaza Resort and Spa which is just a short walk across two parking lots away. The Wynfield Inn is just across the road from that and there is also a Sleep Inn and an Extended Stay America Deluxe in that general area. There is also a Hilton Garden Inn that should be walking distance and the Renaissance is right across the road.
We walked the distance but I remember seeing a flyer about shuttle service at the HGI in the room. I didn't read the flyer through but I think there was a fee attached to some of the locations. I'm sure contacting them will clarify this.