I took my first deer in Columbia, SC. Three counties in the central part of the state have the longest rifle season in the country.
I went to college at Clemson, and I know for a fact you can get from Greenville to Columbia in less than an hour and a half. I drive about an hour and 20 minutes each way to my club property where I live now in Virginia; maybe you should consider driving a little ways to a different county.
Also, I was reading a hunting magazine about a year or two ago, and it ranked Clemson as one of the top 5 colleges in the country for hunters based on the availability of public land in the area. I think if you look around you'll find you have plenty of opportunities, although they may not be within 15 minutes of your house.