I stayed in Poteau, OK at a Best Western, or maybe it was a Super 8. I believe it was on the north end of town. It was good. Let us park the bikes under the awning in front of the office.
Of course you want to ride the Talimena Trail from Mena over to hwy 271. Good place to eat in the town of Talihina. It is a little hole in the wall place on the main drag. Don't remember the name. You will come into town from the north to 'T'. Turn right and the place is on your left. We were there on a Friday and they had a catfish buffet for lunch...very good! Run the scenic routes. hwy 259 in OK is nice. hwy 71 in AR isn't that great. hwy 270 to Hot Springs is great ride. Also hwys 7,8,27 in AR. You might also want to ride up on Mount Magazine, highest point in Arkansas. They have a lodge and resturuant up there, very nice, a little pricey. Sorry I can't be of more help on a place to stay. (If you get nothing here, I would call their Chamber of Commerce)