You, my good poster, have come to the right place! As a big fan of taking a break in the afternoon for a quick cocktail, I've sampled just about everywhere there is on Disney property!
I have to agree with the poster who suggested "poolside at any resort." Especially if there happen to be kids in your party. They can swim while the adults inbibe. The Poly pool is great, but it can be very loud. The Wilderness Lodge has a fantastic pool area and, even better, there's a spot behind the pool area bar where you can look out across the lake, yet be removed from the hustle and bustle of the actual pool area.
You could also consider, depending on the time of day, heading over to Downtown Disney, or perhaps trying the prew-pub over on the Boardwalk.
richard