I quit loading the 180 gr. in a .308 because it was too much of a meat grinder, though it was a brush buster. I can only imagine what the wound channel to a a 200gr. bullet looks like. I'll bet you don't have to look for them much though. I use 4064 at a hair hotter than factory ballistics behind a 150 gr. BTSP, but it allows a longer shot if I ever need one (so far, I haven't). I tried the 165 grain bullet, but I got better accuracy from the 150 (probably just what my rifle prefers).
In 27 years of shooting that rifle, I've missed one deer, and that was because the bullet deflected on a limb. It drew a little blood from nicking his front leg. A hunting buddy got that buck two days later and said it was walking normally before he shot it, so the place I nicked him was only a flesh wound. Otherwise, everything I've shot has been collected and that has been LOTS of deer.
I am really fond of the .308's performance on deer. It is well suited to the areas I hunt. I wish you good luck. With groups like you are punching, success should come pretty easily.
Luck Counts, good or bad