Ohio has various traffic school programs that relate to its own driving records and point system, but as an out-of-state driver you are subject to your own state's point system. They don't get you out of a ticket. As California's traffic school option is an alternative to getting convicted, it doesn't remove points from your license if you are convicted.

You should explore options that might let you resolve the ticket with a dismissal, or a conviction to an offense that does not carry points if abstracted to California.