If you are a legitimate owner of the aircraft, (no more than 20 shares I think), you can hire an instructor to teach you on your plane even if it is on a private C of A. There is no way you could log the time as P1/s, so either he logs it P1 and you log it PUT or you log it P1 and he doesn't log anything.
There's nothing wrong with having several hundred hours of PUT but it is a bit unorthodox.