You have lots of options in Virginia! I'd suggest checking into Franklin County, where we live. You'd be on the eastern side of the Blue Ridge, with nearby mountain views from virtually every location. Presuming you'd like to continue with your vet tech career, Franklin County is a good location because while it's mostly rural, population growth here is just about the highest in SW and South Central Virginia. So existing vet practices are growing and new practices - particularly near smith mountain lake - are emerging.
We've got 128 acres at our horse farm and have two dogs that have the run of the place. Most folks off the main thruways don't fence their dogs in here; if a neighbors' dog wanders over (rare) you generally just give them a pat and shoo 'em back home. The 'burbs are of course a different story, and there are more and more of those in the area, but there is still plenty of country around
Hope this helps.
Cheers,
Sean