For Tennessee Colony prisons (Coffield, Michael, Beto, Gurney and Powledge):

Super 8
2300 West Oak Street, Hwy 79/84 and Loop 256, Palestine, TX 75801
http://www.super8.com/hotels/texas/palestine/super-8-palestine/hotel-overview
Cheap rooms, clean, though a little noisy. Close to Jack-In-The-Box and Denny's (walking distance), and 5 minutes drive from Walmart, Sonic, Pizza Hut, Appleby's, Subway etc on Loop 256.

La Quinta
3000 Texas 256 Loop, Palestine, TX 75801
http://www.lqpalestine.com/
A little more expensive than Super 8, but with a complementary hot breakfast and a fitness centre.