The cartridges you need to consider are the 357 Remington Maximum, the 444 Marlin, the 460 S&W Magnum, the 45/70 Government and the 500 S&W Magnum. The flattest shooting of the bunch is the 460 S&W Magnum. You'll be happiest with a braked barrel except with the 357 Remington Maximum which will have the least recoil of all and probably doesn't need a brake. Many would consider the recoil of the 460 S&W, 45/70 & 500 S&W abusive. I've had good success with T/C factory barrels but I reload. Unless you reload and like to fiddle, you probably won't get acceptable (by acceptable I mean up to 2 MOA) 200 yard accuracy from the 460 S&W with factory ammo with a T/C barrel. My personal preference for these cartridges is a barrel of 14 to 15 inches long including brake. The 357 Maximum would shoot well with a 10 inch barrel.
One must have personal good shooting skills to make successful 200 yard shots with a handgun. The gun must also be top notch. Especially with the heavy recoiling rounds, don't scrimp on the scope or the mounts. If you get a cheap scope, it will probably never give you the accuracy you want even though it doesn't break. If the mounts aren't good, they will bend or loosen. I would recommend a 2.5-8X Leupold Vari X III in SSK Industries T'SOB base with 4 rings. If you buy their base, SSK Industries will even mount your scope for you and they sell scopes as well.
I broke 2 scopes and had never ending mount problems with my 500 S&W barrel and didn't get the accuracy I wanted until I went with a Leupold scope and the T'SOB base. The gun will now put 3 bullets into 1.5 inches or less off the bench at 100 yards.