You take a bus from your loop to the Outpost then get the bus to Epcot. The buses start running about 1 hour prior to opening.
Another alternative is a buss from your loop to the Outpost, then a bus to the Ticket and Transportation Center, then the monorail to Epcot. If you take the boat to MK, then you need to take the monorail to the TTC then change to the Epcot Monorail.
My suggestion, if you have a car use it for the trip to Epcot. This is much more predictable in terms of time, and you will get a good parking spot that early in the morning - right by where the buses drop off from the resorts.