Stabilization is a product of bullet length vs RPM.
RPM is governed by velocity and rifling twist rate. A certain RPM is required to stabilize any given bullet, with shorter, lighter bullets being easier to stabilize.
A .300 WinMag, with it's higher muzzle velocity, will develop greater spin rates with the same twist rate when compared to most other 30 calibers.
A .308 with 1:10 or 1:12 rifling will stabilize a conventional lead core bullet of 175 grains just fine at 2,600 fps. If we drop the muzzle velocity, stability is compromised. If we increase velocity, we can get away with an even heavier bullet with the same spin rate.
When talking bullets of conventional construction (jacketed lead core), as we increase weight, the length also increases and velocity declines. Because we lose velocity AND gain bullet length, we must make it up in a faster twist rate.
When we go to monolithic bullets like the Barnes, the material used (solid copper alloy) is less dense than lead, so for any given weight, the bullet will be longer, thus requiring a faster twist to stabilize.
1:8 is extremely fast for a .30 caliber bore and there will be no problems with stabilizing your 175 Barnes bullets. Because it is a .300 WinMag, the velocity should be high enough to stabilize a Barnes even heavier than the 175.
Here is a spin rate calculator that can be manipulated to see the behavior I posted above:
http://www.bergerbullets.com/twist-rate-calculator/James, your point regarding jacket thickness and bullet durability is a good one, but most game bullets will not spin fast enough to rupture the jacket, especially 30 cal and larger. I have been able to disintegrate many varmint bullets by combining thin jackets with high velocity. My .22-250 with blow up 40 & 45 grain bullets designed for the .22 Hornet. My 6.5-300 Weatherby will blow up 87 grain Sierras meant for much lower velocities. Another thing that will compromise bullet jackets at higher velocities is a rough, work throat.
Barnes bullets, with their monolithic construction, are not prone to this sort of damage and have been driven to amazing speeds. Roy Weatherby and Fred Barnes had teamed up at one time to try for highest possible velocities and reached almost 5,000 FPs and their limit was not the bullet. Absolute muzzle velocity was limited by the rate of gas expansion available in the smokeless powders available to reloaders,