Recourse When Library Refuses to Work With You About Renewing Library Card When Homebound?

I've had my library card for 8 years. It has recently come up for renewal. In prior years, I just went to a branch, paid the out-of-state fee, and renewed. However, my mobility has deteriorated, and I can no longer leave the house safely. I contacted the branch to discuss options, but they are adamant that I must come in to renew. I offered to send my caregiver with my ID. Nope. They insist I have to be there. To protect against fraud, they say. I would understand this if I were a new patron, but I have had the same card at the same address for eight years and only been fined once for ten cents. I do not understand their intransigence.

Do I have any recourse here? They do not have a homebound program. I asked.