The problem I think you will face: No instructor with any credibility will take on and recommend to test a student who had a falling out with his instructor.
If I leave my organization, I'm sure there are plenty of (low class) instructors who would be glad to take me into their organization. They would, however, have no legitimate claim to promote me or recommend me to test me for higher rank because they are not considered my instructor. I don't know how it is in the Tang Soo Do world, but it can't be that much different than Taekwondo in these matters.
Hate to say it, but if you leave your instructor you are essentially cutting your own throat.