Chloramine smells are not at all unusual when exiting a pool. The residual chlorine left on your body is oxidizing the sweat and oils on your skin as well as the compounds in your bathing suit. This is why, if possible, you should shower off after swimming.
You know what else causes chloramine smells - your nose. Well, actually, it's the mucous membranes inside your nose. Chlorine is a volatile compound and it can off-gas from your skin and clothes just as easily from your pool water. When you breath it in, the hypochlorous acid will react with the mucous membranes inside your nose and form chloramine compounds.
Want to test it out - open a bottle of bleach and waft (with your cupped hand) some of the air above the spout towards your nose (don't stick your nose in the dang bottle!). When you first smell chlorine bleach it will have a fresh, almost undetectable odor. Then, after a few wafts, the smell will become pungent and irritating. That's because the bleach is reacting with your the lining of your nasal passage and forming chloramines.
Given your high absolute FC levels, none of this is surprising. While your pool water is safe to swim in, the water you drag out onto your skin and bathing suit has a high residual of chlorine in absolute terms. As you sit there, it is going to be released and the chloramines are going to build up. Your wife may have a more sensitive nose for it (women tend to have better senses of smell, so always let a woman select or reject the red wine at dinner).
The prescription - take a shower right away with fresh water if you have it available.