Recently Daisy has been sleeping in my closet more than on the bed. Don't ask me why. So now I think she would like her own bed. The maximum outside dimensions in my closet are approximately 28x22x15 below my hanging clothes and shoes. Daisy hates to be covered up, so sleeping bags and crinkle sacks are out. She does not curl up in a furball. What kind of bed should I look for?