I use leather gloves. Sometimes insulated gloves. How do your hands get dry and sore? My hands rarely get wet washing. Any gloves that are comfortable for you to wear will suffice.
You use rubber gloves because of harsh chemicals. Mark, don't you use Glory? How are you applying this? In my opinion you don't use harsh chemicals at all and certainly not enough to wear rubber gloves. We 2 step in shorts and no gloves in the summer. I know for a fact my chems are.. (harsher) than those you are using.
Maybe Mark it's not the gloves at all. Maybe you should look into washing a little differently. Maybe there's a better method.... but what do I know.
I rarely wear gloves Mark. Most of the time we do little brushing and I have a method of applying chemicals so that gloves are not needed during a wash. Your hands with my system will rarely get wet... therefore enabling us to wear any gloves we choose that are comfortable.
There is far less overspray of chemicals through a downstream injection as apposed to upstream high pressure. Hands stay relatively dry and chems don't bother them. When brushing, then some rubber gloves would work. They have them available at Grainger. Rainsuits are also available there. In the winter, I use the leather gloves with insulation. Good comfortable ones. Jerseys work also.