There already are vaccines that would solve this. It's just there is no infrastructure (cold storage, sterile needles, medical documentation/identity) in place

There already are vaccines that would solve this. It's just there is no infrastructure (cold storage, sterile needles, medical documentation/identity) in place to administer it. The new vaccines you mention are even more delicate than the existing one, so would not be helpful. The current vaccine (the bad one) needs nothing more than a backpack and a marker (to mark those who were vaccinated). There is research to develop a new, temperature stable, vaccine that can not mutate. But so far no success.