I realized that I was going about this in the wrong manner after talking with B. Here is a better way to use a Texture instead of the Proc brush that I was using in the example.
Here is what the results of using the above Material look like. Do not forget to set your brush Textures to clamped.
In your, Heightfield Painter Blueprint make sure to increase the Brush Size variable. For the above image, I used a setting of 5.0