Gardening question - How do you keep the rabbits from eating your orchids?

TPP over summers most of our house plants outside.  In gratitude most of the ones that can or should flower, do so over their indoor winter.  But problems do arise.  Mostly these tropical plants have no serious problems summering outside.  Some things get gnawed by the stinking fluffy-tailed tree rats, but they usually grow back.  This year TPP discovered that a young cottontail had taken a liking to the broad, semi-succulent leaves of our Phalenopsis (moth) orchids.  They generally occupy some caged shelves, but the caging material apparently still allowed a young rabbit access so, chomp, chomp, chomp.  The solution was simple enough, augment the cage with smaller mesh.  Simple enough but TPP just didn't think about rabbits eating your orchids as a problem.  Not quite certain what kind of animal the jeep was in Popeye cartoons, but must have been part rabbit.  In a couple of really shady gardens, Stephanandra shrubs must be permanently caged or they get eaten to the ground.  These shade-loving relatives of Spirea are basically rabbit candy.  Doubtful the shrubs will ever get big enough for the cages to be removed.  Saw three foxes in our garden last week, wish they would get busy and catch some rabbits.