I think the state part at PK has cabins. Not sure of the info, but you can do a search on the texas parks and wildlife site. Here is what I found on:
http://www.tpwd.state.tx.us/spdest/findadest/parks/possum...
Lodging:
All cabins have air-conditioning/heating; a kitchen with a stove,oven and refrigerator; bathroom with a shower; a barbecue grill and table outside. Linens, cooking and eating utensils are not provided.
6 - 4 person cabins - 1 bedroom w/ 2 double beds:
$75 per night
8 person cabin - Also known as the "Longhorn Lodge". This cabin has 2 bedrooms with 2 full beds in each:
$135 per night
Good luck and have fun! PK is great!