Your Model 66-8 is the modern incarnation of the original Military & Police revolver of late 1890s vintage. Steel alloys have improved somewhat and modern manufacturing methods have evolved to a higher state, but essentially you are dealing with a platform originally designed and intended for much lower pressure loads (.38 S&W, .32-20, and black powder level loadings in the original .38 Special).
.357 magnum chambering in the medium frame S&W (now known as the K-frame) was added much later, adapting a cartridge originally designed for the large-frame (N-frame) magnum revolvers to a more compact piece.
Since its introduction as the Combat Magnum (later known as the Model 19) there have been many commentaries about the wisdom of regular use of magnum ammunition in the K-frame revolvers. 60-plus years of experience have led to a general consensus that occasional use of .357 magnum ammunition is probably acceptable, but regular use of such high pressure ammunition should be avoided.
I have owned and used Model 19 and Model 66 revolvers for about 50 years. I consider them to be very well suited for regular use with .38 Special and +P level ammunition, but not sufficient for a steady diet of factory-level pressures of .357 magnum. In my opinion, subjecting a K-frame revolver to magnum ammunition on a regular basis is an invitation to premature wear, at best, or catastrophic failure at worst.