That is a terrible experience!  
 
  
My husband and I always travel with both the poodle and cat.  Last x-mas we drove to TN 3 times and stayed a week or so.  I too book my hotels online.  The best place I have ever stayed that is pet-friendly is motel 6 and studio 6 motels.  There are countless other hotels that are pet-friendly.  There is a 10.00 non-refundable pet fee but they treat them like guests.   
Where I live, I cannot even take my dog out to MY front lawn to pee because some people have a cow.  I cannot bring my dog to the park etc.  Very unfriendly here with pets 
 
 
I am originally from AZ and I have never had a problem there either.  My pets always travel with me by car or airplane with no problems either.   
I am so sorry you went through this.  Next time, do a search online for pet-friendly hotels and you'll get a list.  Poor Lucinda, I bet she knew she was unwelcomed 
