Zombies have a poor ecological life strategy. While they may initially prosper due to high population densities and people being stupid, their prey and only method of reproduction is also their top predator.
Besides, if you're a parasite/microbe that uses a half-dead body for transmission and transport, well, you're losing a lot of reproductive capability compared to every other parasite out there that uses, you know, fully living bodies that can more easily spread the germs to others. Oh hey, don't we have those?
It should be easy to avoid infection by simply letting the disease take its course and getting well away from population centers. I'd recommend heading out into a big wilderness area, with plenty of supplies and tools for survival, and living off of hunting and gathering, perhaps some cultivation of crops as well. Within a year or two you should be fine to return to a post-apocalyptic world. It'd suck seeing everything you know and love being broken down, of course, but if enough people survive it may be possible to rebuild modern society. If not, we'd return to a hunter-gatherer lifestyle more suited to our low population density.
On the bright side, losing all that large-scale technology and infrastructure is a lot more sustainable in terms of resource use as long as overpopulation doesn't occur
