I've commented on this a number of times, because I've had a similar problem. For me, the culprit was the sticks and overplaying (because it was too loud to hear myself). I prefer a thinner, 5a diameter, but I tend to overgrip if my hands get sweaty. This leads to quick fatigue of the hand (especially the right hand) and then I have to finish the song holding the stick with all fingers, like a baseball bat, lest I drop it and not be able to fish another out of the stick bag.
My fixes:
1) I changed my drumstick. Got a slightly larger diameter that fits my hand better. (If you are concerned with a larger stick being heavier, I recommend maple, as it is far lighter than hickory.)
2) I started carrying different size sticks in my stick bag, so if I start to cramp, I can switch to a larger diameter, or something with more grip, and not overgrip. To some extent, a heavier stick will do some of the work for you, and therefore you don't have to play so loud.
3) I turned down my monitor so that I could hear more of myself. I have noticed that when i use in-ear monitors and the drums are miked up, my ability to control the drum volume in the mix prevents me from playing too hard. Similarly, there's almost always too much volume coming off the stage, especially if amps are miked. Time to ask your bandmates to try bringing it down to 9 or even 8.
4) I brought a hand towel with me and use it between songs and during pauses to wipe the hands and sticks.
5) I don't use gloves, grip wax, or tape on my sticks, but I have sanded them to increase grip.
6) Eating and drinking properly leading up to the gig, and stretching. Hydration and nutrients prevent premature drying of your muscles and tissues, and stretching will help prevent shock to your muscles. I try to have a Jamba Juice with about 5 of the boosters maybe 30 minutes before playing, or a homemade nutrient shake (thank you wife!) Stretch in between sets, during long pauses, and have some water or Gatorade handy. Save the alcohol for after the playing is done.