Hi Carlos...Any Red Roof Inn or Baymont hotel will accept pets, as far as I know. I have found many of those pet-friendly travel websites outdated, or just plain inaccurate, too. Some motels have size restrictions, but if you just walk your well behaved dog up to the reception desk, managers relent pretty quickly! :)
And everything Nina said...cleaning supplies "just in case." I stayed at a hotel with my dog last summer, and a friend and her Great Dane shared the suite. Her poor dog was a bit anxious...when we left them in the room for about 15 minutes, the poor dog had diarrhea ALL OVER THE ROOM.
Danes can produce a lot of poo! It was awful to clean up, and we wanted to leave the room very clean because they were so nice about our dogs.
So...if your dog is used to a crate, and you can fit one in your vehicle, it might be a good idea if you think she might be at all stressed.