Due to it's size, I would think that there would be some kind of a flashlight mount that should work easily enough. Something that looks kind of like this:
So you have your barrel on the bottom, or top, and the camera in the opposite set that curves out. If you decide to mount it under the barrel, you can either mount it normally, or place it upside down to make it easy to get to the buttons. Then use something to rotate your footage.