Whisk together flour and granulated sugar. Set aside. Combine yeast and warm water in a large bowl and whisk until yeast dissolves. Whisk in club soda or lemon lime soda. Whisk in flour mixture until smooth and blended. Cover loosely and let rest 1 hour.

Meanwhile, remove calyx (green leaves on top) from strawberries but do not hull. Pat strawberries dry. Line a baking sheet with paper towels. Set aside. Place extra flour in a small bowl.

Heat 2 inches of oil in a large heavy-duty saucepot to 375°F to 380°F (use a candy thermometer).

Dip strawberries, one at a time, in bowl of flour, dusting off excess. Dip floured strawberries in batter and turn to coat (batter will be very thick). Carefully place in oil (using tongs or a long skewer) and fry until lightly golden all over (carefully stir with slotted spoon to evenly cook), 1 to 3 minutes. Remove with a slotted spoon and transfer to prepared baking sheet. Repeat with remaining strawberries. Place fried strawberries on a platter, dust with confectioners' sugar and garnish with mint leaves. Serve immediately.