The 29-2 is one of the world's great revolvers. It should be accurate enough for nearly anyone, and the SA trigger pull will be essentially perfect.
You are the only one who knows whether you can handle .44 Magnum recoil. Obviously it's not a good caliber for a first gun, but if you are already acclimated to handgun recoil in general then it should be no issue for you.
The 29-2 does come with a limitation: it is not an especially strong revolver by modern standards. It will not stand up to extended firing with standard Magnum loads (250/1400) as well as, say, the Ruger. It also is not a great choice for the "+P" Magnum loads in use today, such as those from Garret. Within those limitations, it is an outstanding revolver.
WRT caliber, the "standard" .44 Magnum load is ideal for most North American game. I would not choose it for very large and/or dangerous animals, but it has worked before and doubtless will work again. I do not have experience with the .357 for big game hunting. "Common" wisdom holds that it is marginal for whitetail and out of place for anything larger. I have no reason to argue with this wisdom, assuming 158 grain SWC bullets. I strongly suspect the more modern WFN and LFN heavyweight bullets extend the abilities of the .357 significantly, but again have no personal experience.