Near the famous Starlight Theatre and Terlingua Trading Co are a variety of lodging options managed by Big Bend Holiday Hotel, many done up in ranch-style decor with a Spanish influence. For the most part they're fairly fancy for a ghost town, but without putting on airs.
Under the same management company you'll find suites, a house and the two surprisingly nice bedrooms in the ruins of the old Perry Mansion. Let 'em know what you want and they'll make you feel right at home.