Low overhead track would stop it from hitting on top if that is the issue. All my doors have less than 12 inches from the top.
How many inches less than 12 of headroom are your doors?
Will low overhead track lower it 4 inches? I have a steel arch rib garage. There is plenty of headroom for the pulleys etc. but the adjacent arch 'valley' is 4 inches lower.
How many inches will 'Quick Turn brackets' gain me?

