It seems to me that there wouldn't be a substantial benefit in going to the trouble to earn the right to label your course AP.
If your student earns a good grade on an AP exam, a college won't care what the corresponding course was called. If he doesn't, then - well, I don't know.
But in any case, a college isn't likely to believe that you really went to all that trouble instead - it's much more likely that you just don't realize you can't claim it's "AP" (since so many parents think that just means "advanced").
In addition, I would doubt that TOG would meet the designation unmodified. Some of the requirements for AP are fairly specific, if I recall correctly. But I haven't checked into this.