The custom shop Model 70 Sharpshooters had Schneider barrels from in that era (1993-1996?) It is a different barrel from the heavy varmint. I bought my first heavy varmint new (1994 I believe) and lusted over the Sharpshooter model at the time but it was twice the price for similar specs. I found two more heavy varmints later at prices I coudn't pass up. (too heavy for deer hunting). I found a lightly used Sharpshooter a couple of years ago and paid $1k. All are 308 WIn and all have 12" twist barrels. If any of those three heavy varmint barrels were made by Schneider it's a surprise to me. Maybe they were but I can't believe USRA would have failed to mention it in their advertising.
All four rifles shoot about the same, limited more by the cartridge (and the shooter) than the rifles. All have post-64 push feed short actions. The "Classic" claw feed action had not been re-introduced. The Sharpshooter has a noticeably smoother action and an A2 McMillan stock. The heavy varmints have HS Precision varmint stocks with a widened forestock suitable for shooting from bags.
CADDE5, I can't advise on bullets for Camp Perry. All of my shooting is around a mile elevation in Arizona and I can get away with much heavier bullets than most manufacturers recommend. They also fly faster and further from less drag. Air density matters in determining bullet stability and trajectory besides muzzle velocity and twist. Camp Perry is only about 600 ft above sea level. If you're at a significantly higher or warmer location where you develop your loads they will be less stable and have more drop when you get to Camp Perry. A 308 does not have much velocity to spare shooting at 1000 yards with a 26" barrel. Particularly if the cartridge is limited to the length of a standard short action magazine as in the Win 70 Heavy Varmint rifle. I don't know if it's practical to feed single shot in the Camp Perry matches.