Some vets do not advertise on their website that they will see birds but will anyways. Some also have relationships with vets that they can contact about questions if they get an Avian patient in. I would stop lamenting about the 4 hour drive and find someone nearby willing to give your birds first aid: wound care, antibiotics, and pain relief.
Call local vets and ask if they can do basic first aid for your birds. Ask who nearby does if they won't.
If you have any pet shops, or rescues, or shelters, or wildlife centers nearby, call them and ask who they use or recommend for Avian patients.
If you or your parents are on Facebook, ask your local city pages where people take their pet birds for vet care.
Network until you find a solution.
I have to drive 45 mins to see someone who knows more than the basics on birds, and 3 hours for the only Avian certified vet in the state. So I get it.