Given that her suits cause problems only in Grand Cayman and no where else, I'm at a loss to provide any very confident thoughts on what may be transpiring.
If I had to pursue something, it would be the allergic reaction hypothesis as your wife's complaints are very suggestive of such a process.
Some individuals do develop allergic reactions to neoprene wetsuits, or to the additives & adhesives used in the manufacture of such suits (some of which may contain latex).
Lycra fibers do not contain rubber products, but products containing latex are sometimes used in the finishing of the material. Also, some skins may use natural rubber elastic in cuff & leg openings. Your wife's dive skin doesn't by some chance have an elastic snugging band around the middle, does it?
In any event, you may wish to discuss this situation with a dermatologist. Patch testing could prove informative.
Sorry that I couldn't offer more.
This is educational only and does not constitute or imply a doctor-patient relationship. It is not medical advice to you or any other individual, and should not be construed as such.
DocVikingo
PS: I'm about 2 hours away.