If you are going around to fly a visual circuit I would have thought that it would still make sense to fly your standard go-around procedure.
You will have a standard G/A for instrument (missed) approaches, so why not fly this for the practice and kill two birds with one stone? Then, if your normal visual circuit requires a different configuration, you have loads of time as you turn downwind to get set up.
I have never seen the point in making up alternative procedures when you probably have standard procedures which will do the job perfectly well.