Instead of THE GUBBMINT being evil by LOCKING EVERYTHING DOWN in some scary QUARANTINE ZONE or the like, imagine a “got to build up zombie bite immunity” response, or one with pseudoscientific treatments, or pretty much anything so can feel like things are back to normal while zombies are just a thing that continues happening.
Add your own ideas if you like.
Have some angry white guy shoot up the doctors trying to cure the zombie virus. Oh wait that’s just the last of us