Thinking about this some more here are a few more ideas.
I would go to the CEO and tell him or her what you would like to do with regards to the landowner permit process. I would get the CEO's agreement with this request and actually have the CEO sign a Consent to Hunt approval form for your family's land just like we all have to do and carry when we hunt someone else's private land. I would have the CEO sign the landowner application as CEO and you sign as applicant and hunter using your hunting license info. You are the valid hunter and lineal descendent, the CEO is the corporation head executive and approver. With this documentation I can't see why this would be rejected.
Keep in mind, the DEP will issue a crop damage permit to a lessee of land that qualifies for crop damage and does not require the approval of the lessor/owner of the land. We know this from a previous issue on this site. If a second person legal agreement between the lessee and the DEP is ok with the DEP I see no reason why they would be reluctant to issue you a free landowner permit under the circumstances above where you, as a lineal descendant, a legal hunter with a current year license, the applicant with the corporation's CEO approval and legally signed Consent to Hunt form, comply with all of the requirements of a free landowner permit.
As an aside, there are dozens of hunters on this site who are part of families as lineal descendants or with other family qualifications, that have family owned land of more than 10 acres that would qualify for free landowner permits if they actually thought about this process and its rules and guidelines but have never considered it at all and are missing out on a great opportunity.