Just painted

If the paint was baked usually it's good to go very shortly after being done. If it's the usual regular spray job iirc they say wait at least 3 weeks to a month before washing it. Again this is because even though it's dry to the touch the paint is still soft. If you can wait as long as possible before covering it would be best. I would think a couple more weeks and you should be good to cover it with soft blankets. If it's somewhere where wind may get at it I'd wait longer as the wind moving the cover may still scuff the paint and that'd be a heartbreaker on a beautiful paint job.