It's too stifling hot and humid here to ever want to process wood in summer. Our average highs are only 85F, but those regular stretches of mid-90F's always seem to land on the weekends you're available for splitting, and our stupid-high Atlantic coastal humidity puts our regular heat index well into the 100F's. Even just an hour or three west, closer to bholler, is very substantially less humid and nicer.
I try to do all of my wood harvesting and splitting when the ground is frozen, but fresh snow isn't piled too high. Days with highs below 30F (meaning overnight lows below 10F) are ideal, as the sun never manages to thaw the dirt in the afternoon, keeping mud and turf damage to a minimum. That does mean wearing gloves, but usually a pair of nitrile surgeons type gloves (but in 4-6 mil thickness, like many mechanics wear) under a pair of cheap uninsulated cow hide gloves, keeps the hands warm enough while moving.
My bigger problem is toes, which tend to freeze in steel-toed logger's boots. I finally bought heated socks this winter, but too late in the season to really test them out. Keep my toes warm, and I'm happy to be outside in the cold, all day long.