Summarize:

Using wet hands will help the rice not stick to your fingers.
Preheat the oven to 450 degrees Fahrenheit (230°C) and spray a muffin tin with nonstick cooking spray. Combine the brown rice, cheese and egg. Place 1/4 cup of the brown rice mixture into each muffin tin cup. Using clean wet hands, press the rice mixture against the sides and bottom of the muffin cups. Bake the rice-lined tins in the oven for 5 to 7 minutes, or until the crust has browned. Remove the muffin tins from the oven and allow the crusts to cool to room temperature before proceeding. Reduce the oven temperature to 325 degrees Fahrenheit (160°C) and make sure that you've positioned your oven rack so that it is in the center of the oven, about 6 to 8 inches (15.2 to 20.3 cm) over the burner.