Great, I got it to work. Now I'm running into one (hopefully) last issue. When I actually output the character onto the screen, I get the attached image. If you look closely, you will see a white outline around each body part of the character (the arms are a good example). In addition, there are white pixels that appear above the left ear and to the right of the right ear that are not part of the source image.
Why is this happening? I did some reading on it, and my hypothesis is that it is related to the shader that is used to create the RenderTexture. Do you have any idea how I can fix this?