I also own both guns, a 4 inch Model 29 and Glock 20. I'd probably choose the Model 29 for hunting. You won't be able to make use of the extra capacity of the G20 and even a moderate .44 Magnum load should be a better stopper than the 10mm.
10mm might be able to get to 1,100 to 1,200 fps with a 200 grain bullet. A .44 magnum should be able to reach about 1,000 to 1,100 fps with a 240 grain bullet from a 4 inch barrel.
My 180 grain handloads are usually 180 grains at about 1,200 fps. My mid-range 240 grain .44 mags chronograph at 1,050 fps from a 4 inch barrel. I'd bet a 200 grain .44 magnum could reach 1,300 - 1,400 fps even from a short barrel without much effort.