Toss cheese with flour until coated. Bring wine to boil in medium saucepan over low heat. Add a handful of cheese into the boiling wine and stir until cheese is melted. Continue adding cheese by the handful, stirring constantly, over low heat for until cheese becomes creamy, about 5 minutes. Stir in crab and add salt and pepper to taste. Remove from heat.
To warm the fondue up: Remove plastic from the bread bowl and place on the grill over a low heat. When the fondue warms, transfer the bread bowl to a serving platter and place on the tailgating party table. Serve with baguette slices, fingerling potatoes, cauliflower or apples for dipping.
Makes about 4 cups.