superdave:
Not sure abut Shinobudo Karate. But here might be some possibilities:
I have heard of "Shin Budo Kai" which is an Aikido school that also studies traditional weaponry pretty heavily. Not sure if a karate school would be related to that tradition. I believe "Shin" in Japanese means "real" or "authentic", like a "shinken" is an actual (authentic) cutting sword, so it could be a style that the founder wanted people to identify with an "authentic" tradition.
The other possibility I was thinking was that "Shino" is a derivative of the english "Sino", meaning "Chinese". It could then possibly be a form of Karate with readily identifiable Chinese roots, like a kempo/kenpo form.
Not sure. I couldn't get the link to work, btw. It seems to be out of a YMCA in Maryland.
Do you know anything about the characterisics of the style (i.e. its techniques, philosophy, ranking system)? Where did you hear about it? That might help put us on the right track. Google doesn't turn anything up but the YMCA link that was aforementioned, but does mention a "Shin Budo Karate Do" and "Shin Budo Karate-Jitsu", both with schools in northern New Jersey.