We pick Mizner's Lounge to come enjoy a drink and listen to The Grand Floridian Orchestra Society. The lounge has a number of different seating configurations; a few chairs grouped together or a spot at the bar. The bar has about eight chairs and is a nice spot to watch the game on TV.
If you're at the Magic Kingdom (which is dry except for dinner at Be Our Guest) and looking for a quiet place to grab a drink, hop on the boat to the Grand Floridian and belly up to the bar. Cheers!