The resume is the obvious answer, but the resume gets you a face to face interview - where you can chat, and sell yourself in person. So, unless you are standing by the table, shaking hands, handing out business cards, etc . . . it may be an odd situation.
You can always put out calling script samples, samples of paperwork - but to be honest, people hiring understand that all of that can be faked, and paperwork is stolen and rehashed and reused.
It actually throws back a more serious question to the senior stage managers, how does one sell yourself as a stage manager?