I have been reading from the beginning and haven't commented as Tim had it more than covered. But now that your in the realm of bullets hitting game, I'll add my 2 cents as I have shot a "few" with the handi maxi.

First and foremost, the 357 maximum is one of my all time favorite calibers and my favorite handi, I will never be without it.

I have had nothing but Bang Flops with a near max load of AA1680 powder, a remmy case, a remmy SR primer and a Hornady 180SSP bullet from my handi factory 357 Maximum. It exits my muzzle at damn near 2200fps.
I hunt here in New England, we have big deer and altho I cannot confirm it, I'm sure they are built the same as yours. The bucks I have shot averaged about 160 on the hoof and 125-130 on the meat pole. My shoots are inside 75 yards some much closer. I shoot for bones and bang flops are the norm. This past season was the first non bang flop in some time. It was a 30-30 Hornady 160Gr FTX at about 10 yards, high thru the shoulders missing the spine. Ran about 40-50 yards dying in mid stride going thru a briar bush. As mentioned, the maxi has an excellent record of bang flops. High shoulder shots at these ranges and velocities generally only have shrapnel exiting the off side. So common that I switched to the Speer 180 FP. This is a tougher bullet and works just about as well, but nickle sized exits are the norm no matter what gets hit in the animal. I have also used the 170GD. Remember, this bullet is designed for the 357mag, so upping the velocity results in impressive expansion. But the construction of the bullet keeps it together. Resulting in some very impressive mushrooms. (Quarter sized) At least judging by the exit wounds as I have yet to recover one!! the 180gr Partitions and 180 XTP are good bullets as well, but accuracy has been stellar with the SSP, so that's what I prefer. I too have loaded the FTX 200's but still haven't shot them. I have shot allot of 200 SP and RN bullets and firmly believe the 180 is where its at for a game bullet in the maxi. The lighter bullets and the Remmy 180HP are simply too lightly constructed for the maxi in a rifle barrel for use on big game. The lone exception is the excellent Hornady 158FP bullet.This thing is a GREAT 357Mag carbine bullet!!! Classic mushrooms and many dead deer confirm that! Its pretty good in the maxi as well, but IMHO the 180 are better.
Here is a 200 FTX maximum.

I have had the maxi for many years and loaded with all available powders sans Viti vouri (Now I even have some of that to try!!)and most all bullets from the 125's to the 200's. Some shot better than others, none shot as well as the 180 SSP with AA1680 powder, from my gun. Before the Handi I hunted with the Maxi in a Contender pistol. A problematic 357 Herrett and a friend silhouette shooter turned me on to the maxi. The maxi is Tailor made for the short distances and close population I find where I hunt. it has unseated the 45Colt as my favorite round for this kind of hunting and that's no small feat. As I have loaded and hunted with that one for more than 20 years before finding the maxi almost 10 years ago! To put it another way, I have 5 45 colt hand guns and 3 45Colt rifles but only one handi 357 maxi.
Here is a target with the 170GD @ 100 yds.
The maxi is something I know a little something about...
CW