On America's Test Kitchen, they use bread crumbs and milk to form a "panade". It is to make very moist burgers. (Because they tested better than dry ones,

)
Here's the recipe. I imagine you could substitute rice bread crumbs if you don't do gluten?
Adding a panade (a paste of bread and milk paste) to the ground beef creates burgers that are juicy and tender even when well-done. For a burger that cooks up flat, press the center of each patty down with your fingertips before grilling. Serve the burgers on your favorite buns or rolls. For cheeseburgers, follow the optional instructions below.
Serves 4
1 large slice high-quality white sandwich bread , crust removed and discarded, bread chopped into 1/4-inch pieces (about 1/2 cup)
2 tablespoons whole milk
3/4 teaspoon table salt
3/4 teaspoon ground black pepper
1 medium clove garlic , minced or pressed through a garlic press (about 1 teaspoon)
2 teaspoons steak sauce , such as A-1
1 1/2 pounds 80 percent lean ground chuck
Vegetable oil for cooking grate
6 ounces cheese , sliced, (optional)
4 hamburger buns or rolls
Meanwhile, mash bread and milk in large bowl with fork until homogeneous (you should have about 1/4 cup). Stir in salt, pepper, garlic, and steak sauce.
Break up beef into small pieces over bread mixture. Using fork or hands, lightly mix together until mixture forms cohesive mass. Divide meat into 4 equal portions. Gently toss one portion of meat back and forth between hands to form loose ball. Gently flatten into 3/4-inch-thick patty that measures about 4 1/2 inches in diameter. Press center of patty down with fingertips until it is about 1/2 inch thick, creating a slight depression in each patty. Repeat with remaining portions of meat.