You know, the thickness of a barrel has little effect on the accuracy. The quality of the steel, the quality of the rifling, how the rifle is assembled, have more effect on accuracy than the mass of the barrel (assuming it is adequate engineering wise, in the first place). I get a kick out of the guys who insist that they need a heavy barrel for a coyote calling rifle or a 400 yd deer rifle because someone told them "heavy barrels are more accurate".
As long as you figure out how to hold it so that you allow it to shoot as well as it can (lighter rifles are more sensitive to how they recoil), and shoot slowly, allowing the barrel to cool adequately, you should expect 1.5" 3 shot groups at least, maybe even less than MOA with loads it really likes.
Where a heavy barrel really shines is in high volume shooting like prairie dogs/ground squirrels where the heavy barrel heats up slower, allowing the barrel to maintain it's accuracy longer, whereas a lightweight barrel may loose it's accuracy after 2-3 if fired fast and not allowed to cool.
So IMO, go ahead and buy your Hawkeye Ultralight, you'll probably really like it.
