There are considerations you should examine other than barrel length. The first question you need to ask is, "What is it for? Defining the range at which you shoot or the ammunition you intend to use doesn't answer that primary question. A rifle that is shot solely on the rifle range tends to look much different from one that is used in the field, whether the range is certified or an abandoned gravel pit. I wouldn't mind betting that as you master shooting at the ranges available in your gravel pit, it won't be long before you develop an itch to see what you can do, first at 300, then further.
If the rifle is to be used as a hunting rifle, the need for a heavy barrel becomes suspect, as the POI from a cold bore shot becomes far more important that the group size of a 10 shot string. If the rifle is to be used as a walking varmint rifle, it might well have a heavyish barrel. But to keep the weight manageable, there should still be some effort made towards keeping it portable through the choice of a mid weight contour, although the weight of a heavy barreled rifle can be mitigated by choosing a shorter barrel length, perhaps at the cost of balance. If the rifle is to be used strictly as a bench gun, a heavy barrel is appropriate, and the shorter the barrel the stiffer it is, and within 200 yards there is no benefit to a long pipe. But keep in mind that you might not want to be confined to 175 yards for very long.
Although you are only interested in shooting 55 gr factory ammo at the moment, selecting a barrel with a common 1:14 twist might prove unnecessarily restrictive once you have forgone factory ammo in favor of handloads; if you're serious about shooting, that will happen sooner rather than later. Once you're handloading, you are not limited to light weight bullets and if you get bitten by the long range bug, you will want to load the heavier bullets so it might be better to choose a rifle with a 1:8 twist right off the bat. A fast twist barrel does not preclude good accuracy with short bullets. One of the most accurate barrels I ever owned was a 24" Gaillard 1:7 .222 barrel, and I shot more 52 gr MKs out of that thing than anything else. If there is a disadvantage to the fast twist, its that it tends to be destructive to thin skinned varmint bullets that are designed not to ricochet with low velocity impacts. I had to stop using both the Sierra Blitz and the Hornady SX as they tended to come apart on the way to the target.
