I got a response for you, already Heather! I just seem to gravitate towards people who like alcohol.
The overwhelming suggestion is to try ABC Liquor - especially a larger one. One lady said since it's such a large chain in Florida that she wouldn't be surprised if there was one close to the port, if that's convenient for you.
I also found this:
From the WALT DISNEY WORLD SWAN and DOLPHIN turn left on Epcot Resorts Blvd. At the light, turn left on to Buena Vista Dr. Continue on Buena Vista Dr for about 3¼ miles the road will merge on to Hotel Plaza Blvd. Follow Hotel Plaza Boulevard to the third light. Turn left on to Apopka-Vineland Rd (SR535). At the next light turn right on to Palm Parkway. Vista Centre Shoppes will be on the right.
You might want to verify that it's still current, but if the information is correct then there is an ABC liquor store about 5 miles from the Epcot Resort Hotels area at WDW in this retail strip mall.
I even found their phone number: (407) 239-5422
Once you get settled in you could call and ask if they have it, then they could set a few bottles aside for you until you can come in to pick them up.
Good luck!