The model 28 was my first hunting handgun. It served well in that capacity, then went to Viet Nam with me, when I returned I left it with a friend. I acquired another one when I returned to the states, and used it hunting for several years, then I got hyopoked on Contenders.
I see nothing wrong withe .357 for whitetail as long as you keep the shots at a reasonable distance. Just keep in mind the gun has limits, and is further limited by your ability to shoot it. Select a good load, and practice, practice, practice.