As that is generally man territory, all I can say is I have yet to meet a guy that doesn't either lay theirs on top of the cool grill and then place the cover over it OR have a hanger on the side to hang it from.
Yup, that's what I do. I'm looking for an individual cover for my brush, but there doesn't seem to be one that exists. Maybe they do, but I can't find one. Do you think it's a good idea to have them on store shelves, or am I just wasting my time thinking about this?haha!