I'd ask the management, they might actually let you park near the store itself on a side area, some stores will let you no problem, the local Lowe's will, they have a large sidewalk. I asked at our local walmart, because everyone was parking in the white and yellow striped zones at the end of the rows near the building, some even in the blue striped areas near the handicapped zones. He told me it was ok, so long as I didn't care about insurance, because if I parked there it was considered "improper parking" so wally world wouldn't pay for damages and most likely you would get a ticket for the same if someone was to hit you, you would probably end up paying for damages to their vehicle.
He said the store won't hardly ever ask motorcycles to move from those zones because they are not taking up regular parking spaces and usually they are "out of the way". If you do park in the striped zones make sure you don't block anyone, and if you park in the end of the handycapped zone be prepaired to have your bike run over.