Lori, I totally understand your dilemma, especially if you don't have your own transportation.
I guess it all depends on how you want to schedule your day. If you are planning on doing MK for a few hours in the morning, taking a break and then going back for EMH, this is what I would do. Request a late check out from the GF. Usually it's 1pm. Pack up all your luggage for the transfer but keep the bathing suits behind. They are easy enough to throw in a backpack. Call bell services for the luggage transfer and head into the MK until noon. Come back and grab a bite to eat from the lounge and change into bathing suits. Officially check out of the GF. Swim and relax until at least 2pm. When you're ready, get changed and either take a taxi over to the AKL or hop onto the monorail to the MK entrance (not the TTC) and walk straight ahead until you get to the resort bus stop. By now, your room is probably ready and your luggage would be on it's way also. This will give you time to get settled, have a bite to eat and then head back into MK for that EMH.
We stayed at an Epcot resort recently and I was pleasantly surprised at how well the bus transportation worked out. Because we've stayed on the monorail line for so many years, I didn't even realize that they no longer drop you at the TTC, but deliver you right to the entrance of the MK. It's really convenient.
Tammi