There would have to be a visa that you qualify for that the company could sponsor you for, such as an O-1 or a country-specific visa, but given how long such a

There would have to be a visa that you qualify for that the company could sponsor you for, such as an O-1 or a country-specific visa, but given how long such a process likely would take, even if you qualified for another visa, you probably wouldn't get it much faster than the J-2 work card.