Hi Wendy I had same while on docs/hercepton. And the worst thing was in shopping centres etc because I looked like I was constantly crying people avoided me like the plague ... in the first half of chemo when I looked okay, just bald, I often had people come over and assure me they'd been there and come out well!!
Funny I had the wrinkled / red palms too!! The palms are still the same. The only things I can say are keep out of airconditioning and heating if possible (brrrr). I got out my old kids vaporiser at home and kept the air a bit moist, put my face in the steam every now and then which helped a little. Don't use tissues - they made the rash worse - toilet paper, hankies to dab the moisture. Rinse your face often, the salty tears were making the rash worse and drink and drink. Reckon I was losing a litre of fluid through my face!!
I hope you get more advice on what to do. For me luckily it went away about 6 weeks after the last dose of docs/hercepton. Hopefully though if you are taking the drug long term it will be something your body will acclimatise to. Sending you big hugs, and hope everything improves.
Pam