A rollup or accordian door can be any height, but they get pricy.
Understand that a 14' tall opening does not equal 14' of clear access.
The average overhead door when open will hang down anywhere from 6" to a foot or more below the top of the framed opening.
Your 14' door should be fine with a 12'6" trailer, but you must watch to ensure it is staying up as far as possible.
You may even want to cut a piece of tubing such as the lightweight tubing used for a tv antenna mount to something like 13'6"" and use that to ensure the bottom of the door is always above your highest point before backing in.