Do shuls have a kippa bin at the front entrance for people walking in without one?
What if they had a jacket closet with jackets of diff sizes. Maybe even donated to the shul and get dry cleaned once every month or so, also a donated service.
Only rule is to remember to take it off after davening and return it to the shul closet.
May be an issue if the shul doesn’t have AC and/or the person isn’t wearing long sleeves. Or for anyone with allergies