I'm going on the record as saying 'please don't park at an Epcot resort so you can walk to Epcot'. I stay at BWVs, a lot. And it's been hard to find a decent parking spot when returning to the resort later in the afternoon. And that's because non-resort guests feel it's ok to park there so they can walk to a park. Those guests paying the high rates to stay there are paying for the perk of walking to a park.
You are more than welcome to park there if eating or shopping at the resort. But once you leave resort property you are expected to be in your car.
You can pay for valet parking though...then it's fine to leave a d go to a park. You aren't taking long term space from others.
Or, just go to the S/D and park there. Everyone has to pay to park there!