Nothing within 100 miles of Greenville. Kaufman, Terrell, Mesquite....nothing. I guess I'll start west of Ft. Worth.
Did you try Sulphur Springs and Mt. Pleasant?
If in fact there are no room in Texas, here's a link to a town in Ok with accomodations you can check on:
http://www.duncanok.org/html/accomodations.html
It's large enough to have a Holiday Inn as well as a couple of other hotels along with a SuperWalmart and the regional hospital. It's off the beaten path but Halliburton and Schlumberger have a presence here. It's 25 miles due east of Lawton, Ok.
I offer the info as a just in case and because I live 10 miles north so I know the area. It takes about 8 hours to get to from Houston. When we lived in Houston we wouldn't take the I-35 route but would go through Decatur, then to Bowie, take a right at 81 in Bowie and then a straight shot.
http://www.cityofduncan.com/
http://travel.yahoo.com/p-travelguide-478703-duncan_ok_vacations-i
Maybe this is a bad idea..but you an try the Texas State
Parks many have cabins...Northern LA has very nice state parks w/ cabins .. up and down I 20 .Lake Claiborne Sate Park is especially nice..it's north of Arcadia