Canadian citizens can apply for H-4 at the border. Typically, CBP would require proof of relationship like marriage cert and evidence of H-1 approval and status. In my experience, CBP does help people over the phone. Try calling the port field office, for instance, Buffalo: http://www.cbp.gov/contact/ports/field-office/buffalo
The above link can be used to locate the office that will have jurisdiction over your entry.