Call this opinion from an Old Fart who's been around for a while:
Being able to hit your target, whether from a benchrest or offhand at a tin can or deer, requires having the correct sight picture at the moment your finger makes that last tiny movement which causes the loud noise.
For a hunter, the benchrest is merely a means of getting the barrel and sights aligned. Once that's done, further benchrest shooting is pointless. The exception is that it's a comfortable position from which to practice the eye-finger coordination, for a beginning shooter.
Out in the field, where a hunters' important work is done, shots are taken from offhand (particular if you're a walking and stalking hunter in brushy country) or with some "casual" rest--tree, rock, whatever.
Since the most difficult position is the Offhand, I've always suggested practicing from it. The .22 rifle and the ubiquitous tin can make the least expensive combination. If you can achieve coordination with the typical trigger of a .22 rifle, you can easily deal with the same situation with a big game rifle having a quality trigger. (And, yes, some .22s have decent triggers, but they are not the least expensive.)
Okay. You've done all this practice, focussing on what you're doing and not just "getting off" on making noise. Now it's time to go seek Bambi for your supper.
A mistake that many novice hunters make is to just shoot at the whole animal. "A scope full of brown; "Bang!" You have to learn deer anatomy, and pick a specific spot on the critter to shoot at.
If I have any kind of rest, and the deer is inside of 100 yards or so, I usually shoot for the center of the neck. Otherwise, I try for the heart/lung area, going low in the chest where the heart is located. If I shoot a bit high, the lungs are destroyed. My personal limit for offhand shooting is around 100 to 150 yards, and then only if it "feels right". I just don't like the idea of a bad hit and thus losing a crippled deer.
I don't advocate shooting at a running deer until after one has quite a bit of experience. The longer one stays with a particular rifle, the better one gets "married" to it, and the greater the confidence.
Nuff fer now; hope this helps.
Regards,
Art