I hang all deer head down, gut them at the barn, or nearby tree. I use a 18vt dewalt cordless sawzall for all bone cuts, and the golf ball method with a boat winch for hide removal. (Boat winch cable is routed through a snatch block and earth anchor). Wheel barrow beneath the deer for guts. Gambrels I make myself from aluminum or steel tubing and 1/8" cable that cinches at the deer's knees. You can not drop the meat, even if the tendons are cut. So far, I've made and shipped off more than a dozen to friends who want one. We have room to hang at least 5 deer at a time, each on block and tackle. Butchering kit, hangs on the wall, and I have.a string of 150wt bulbs on a construction lighting string wrapping the cutting area with 1500wts of light.
Personally, I do not gut on the ground, or in the field. I'll keep all chance of dirt away from the meat, and I just don't like gutting on the ground. A rubber surgical glove over the action of the sawzall, keeps the saw parts clean. I take the blade trhrough one of the fingers and tape at the cut, and the wrist, and no gore in my saw.