Transfering app after membership expired
Contact developer support from the new account and ask if hey can help. I’m guessing a one time transfer if you know exactly what you need and aren’t a pain in the Apple (pita) I could see them handling the transfer or re-activating the old account for a day to effect the transfer. 

Seems like you could just scrape together the $100 as you didn’t plan ahead as the worst case scenario, but perhaps work with support if you want to keep your $100 and don’t mind waiting a bit to convince someone to help you out. 

The risk is Apple can’t tell you’re who you say you are and then they have to deal with an improper transfer of someone else’s intellectual property and personal information. If they are open to liability in this request, you’ll likely never convince them to transfer and have to walk away from either the renewal fee or the abandoned apps.