Thanks for bringing your thread back on track. With respect to salt, there's a fair number of people here who add salt to make their water a bit easier on eyes, along with keeping their pH between 7.2 and 7.8. Salt is an option for any pool and will not have a noticeable effect on the rest of your water chemistry. Perhaps it's worth trying for your dry skin. Most people will not taste salt up to around 3,000 PPM and most non-salt chlorinated pools will have a level around 500 to 1500 PPM salt. For reliable salt level testing, the Taylor K-1766 test kit is the way to go, or good quality salt strips are not that bad for a rough idea.
Your water chemistry is within TFP guidelines, so I was wondering if it might be worth testing the feeling of some harsher water, from a chlorine perspective, by swimming at a few well operated commercial pools. Active chlorine will likely be higher, and it might be a way to test yourself for chlorine sensitivity. Such a sensitivity is thought to be fairly rare, but nonetheless worth knowing more about. You could even take a water bottle with you and sample the water on your way out, have the test kit in the car, and get more information that might be useful.
I think about this one a lot, because I've had a variety of skin issues most of my life. I make myself the tester on my own pool, and after any significant change I swim in it with my eyes open to be sure it's safe for my grandies. I haven't noticed any ill effects up to 24 PPM FC (at 70 PPM CYA), although in that case, I did sense the smell of CCs on my skin from FC combining with my sweat and other things on my skin, and showered after that test.
I personally haven't needed to do this, but I think a skin moisturizer would help, before or after swimming.
With respect to eyes, I was personally very successful after discovering not to rub my eyes, from the article linked below. This was almost life-changing for me, due to a condition I manage in my eyelids. To stop rubbing, I had to keep my glasses by the pool and put them on right away when I came up, to stop myself from rubbing and learn to blink instead. It's a habit for me now, and what I thought was irritation from shampoo in the shower turned out to be eye-rubbing as well.
Swimming Teaching: Bloodshot Eyes After Swimming or Sore Eyes From Swimming?
Just a few ideas to help you in your quest. If it were me, I would also think about what else might have been different before switching to TFP, but that gets pretty tough to do!! Good luck with it.