I don't think so. There would be a handful of transportation corridors that would be the likely best-case scenarios, but I don't think any of them generate enough potential consistent ridership to offset the cost. The main problem is for something like PRT to work, there has to be routes consistently traveled enough to keep the cars occupied. I don't think that is the situation here.
We don't really have a center of activity the size of a university (like WVU) or an industrial center that people consistently commute to and from.
It would be interesting in a place like Biltmore to shuttle people around the various points of interest on the grounds, but I doubt that the cost would be worth it for them.
In our situation, buses are probably the best option. Routes can be tweaked over time to match ridership trends without any associated construction costs. Since construction costs are minimal to nil, service on routes can be reduced or eliminated at times where there is consistently no ridership without affecting the amortization of the initial investment.