D.B.
Get a regular old drying rack, and put an old towel or pillowcase that you don't care about across the top. You'll lose the top level, but it's better than losing all the suits. You could also hang a bunch of suit from the top rungs with clothespins, then lay the old towel on top - the suits would still hang down and dry easily. The other towels could be on the lower rungs. The air will circulate around them and they will dry faster than if they are on hooks, especially if they are all crowded together.
Can you find one of those beach umbrellas that clips to the beach chair? Depending on the style of the clamp and the size of the rungs on the drying rack, you might be able to rig that up and tilt it as needed to protect the suits that are on lower racks and are still exposed to the sun.
I can see that you don't want to put them in the washer all the time. That's going to wear them out and cost a fortune in water/detergent.