Carry-ons HAVE to go with you to the DME bus; there are no other options. DME doesn't "deliver" carry-on luggage.
When you get to the DME bus, you are permitted to take carry-ons into the bus with you ONLY IF they will fit on the overhead shelf or directly under your own seat. Otherwise, the driver will need to stow them in the luggage bay under the bus. If this happens, the driver will unload your bags for you when you are dropped off at your resort. If the driver handles your bags, a tip is in order.