Does anyone know where I can search to find kitchen rentals either in my state or the next state over (New Jersey, Pennsylvania)? I cannot get my home kitchen inspected so I am wondering where I could make cakes out of . . .

Well, I'm not from your area, but generally speaking, I would start by looking up local caterers in your city and ask them if they would be willing to rent you space. HTH!

Probably the most direct route would be to call your Health Department/Dept of Ag - whoever licenses kitchens. They obviously know where the licensed kitchens are.