How can I protect my damn thumb?

The thumb on my mail grabbing hand (left hand), keeps drying out, skin dries out, peels off and then I’m stuck with a hole in my thumb that is raw and bleeds.

It hurts. It stinks. I don’t like it.

I moisturize, I use working hands, but sometimes it just comes back.

I try to use thin rubber gloves when I’m able but that’s hard in the summer, they often just disintegrate or fill with sweat or both.

So that’s not always helpful. Anything any of the pros can suggest?