watch out, amtrak's web site makes it look like there's a train some places, but they are really routing you on a bus.
I rented a uhaul for that section, but if i had it to do over again i would just ride. one-way rental cars work too. or craigslist ride share or hitchhike.
i think a lot of us on this site (myself sometimes included) spend a lot of time looking for "cheap" or "public" transportation options, but if you weigh in the cost/benefit of the amount of time & aggravation those take, spending a little actual cash up front makes more sense.
That said, I wonder if there is actually a regional bus line around there. Maybe ask in the regional forum?