It is no secret; if you can't shoot offhand, you are going to miss opportunities at game. In Gun Culture 2.0, we've moved away from hunting marksmanship in favor of defensive marksmanship and competition marksmanship. With the exception of rifle events in Cowboy Action and 3-Gun, offhand proficiency with a rifle has largely waned. Certainly, in the modern hunting world long-range shooting from a backpack, bipod, or improvised rest is more en vogue than it has ever been. That's all well and good---it takes solid equipment, considerable skill, and lots of trigger time to make those quarter to half mile shots. But, it does zero good when that grey-muzzled and sag-bellied whitetail buck springs up from a blow-down.
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Enter the sling. There has a been a good deal written on the rifle sling and numerous authors have made the distinction between a sling and a carrying strap. When most people think of a rifle sling, they think of it as a carrying strap. These folks are missing out on a huge advantage in offhand shooting. A proper sling makes for a more stable shooting platform and can really make the difference in taming that buck fever. In this brief article, I'll discuss the three slings that made me a believer in the value of having a quality sling on a hunting rifle.
I was first cured of my LSU Disorder (Limited Sling Usage) after reading up on the superb marksmanship challenge, Project Appleseed. Project Appleseed is a rifle shooting course hosted by the Revolutionary War Veterans Association. Appleseed recommends a USGI web sling, like those issued for the M1 Garand for its shooters (http://www.appleseedinfo.org/as_faq.html). This sling is cheap (I paid $16 for mine), easily adjustable, and excellent for wrapping around the forearm. This sling provides an economical and effective way to reduce wobble. However, I have noticed that when considerable tension is applied to the sling via the forearm wrap that the length adjustment buckle has a tendency to slip. Your miles may vary based on material (cotton or nylon), but this is a decent option for the sportsman on a budget who a wants a real sling.
USGI Web Sling mounted on AR-15
The best sling option for offhand shooting is the Ching Sling popularized by Lt. Col Jeff Cooper. The Ching Sling uses three mounting points and a large loop to allow the shooter to wrap the strap around the tricep. This is considerably more stable than the hasty sling method mentioned for the USGI web sling. The downside, of course, is that the Ching Sling requires the installation of additional sling studs on most rifles. Depending on your firearm of choice, this can be impractical or unpleasing to the eye. An alternative to the storied Ching Sling is Andy Langois' Rhodesian Sling (http://www.andysleather.com). The Rhodesian Sling provides most of the support of the Ching Sling without requiring the extra sling stud. Setup is simple. Adjust the loop so that it can be quickly and tightly pulled around the tricep and the adjust the length of the remaining sling. If you so like, you can trim the excess leather (there is quite a bit) to prevent snagging and flopping. I have found the Rhodesian Sling to be considerably better in providing stability than the web sling, but it sacrifices a little speed in the process. Did I mention it is leather? Not the crappy, plasticized leather found in your wife's purse but honest to goodness real leather. It smells as good as rare backstrap tastes, and that is saying something.

Rhodesian Sling mounted on Winchester 1885 Highwall
If supported shooting isn't your aim, but a lightning fast mount is, then the ideal sling for you is the Boonie Packer Safari Sling (http://www.redi-mag.com/index.php?l=product_detail&p=14). This extremely unorthodox sling carries the rifle in front of the shooter, and the elongated straps actually run through the sling swivels and over the barrel and buttstock. This sort of sling takes a bit to get used to, but it provides the fastest time to sight picture of any that I have tried and offers excellent muzzle control. With good irons (receiver aperture, ghost ring or express leaf) or a low-power scope this setup provides truly remarkable speed. With a little practice, you'll be envisioning yourself putting heavy rounds into an incoming Cape Buffalo.
The author with a Winchester 70 riding on a Boonie Packer Safari Sling
As someone who enjoys hunting on the ground and in particular still-hunting, these slings have greatly improved my ability to make offhand shots quickly and accurately. Though someone who lobs rounds in the next county from a stable prone may not benefit from them as much, they are not limited to this shooting discipline. While browsing a large outdoor retailer recently I stumbled across a obscene mechanical arm that mounts to a treestand's footrest and provides a benchrest like platform for rifle shooting. If I recall correctly, it ran about $300. At the time, I thought it was absurd and couldn't understand why my shopping buddy thought it was worth purchasing. Then, I remembered. I know how to use a sling.