Now I certainly wont claim to know Anything about grain augers, but I would think that it would be a fairly simple item to load and transport. Your trailer is 16' and the auger is only 20', so length is not a problem. I wouldn't think you would need to remove it from the stand at all.
It has wheels so it should be easy to get to and onto the trailer, load it with the current "low" end toward the tongue of the trailer, let the high end hang out off the tail end and Flag it good for safety, strap her down secure and head it home. There can't be any real weight to it is there ?