Shooting a lightweight rifle, the odds are always against you from field positions. If simply adding some weight to make the rifle slightly heavier is not an option, there are a few things you can do to tip the odds in your favor.
Fit and balance. UL rifles tend to suffer in this category. Corners are often cut to save weight, throwing off the balance. Short actions tend to be muzzle heavy, long actions tend to be butt heavy. Of the 2, the former is a better situation. Something as simple as reconfiguring your scope mounts or going with a heavier or lighter base and rings may bring things into balance. Also, comb height is often sacrificed. Make sure LOP, butt plate angle, and balance point are near perfect. A UL rifle will amplify your mistakes.
As above, slings. All my rifles wear some iteration of the M1907 military rifle sling or the "Garand" Web sling. Although I seldom sling up per army specs outside of NRA service rifle matches, both work very well in "hasty" mode with a quick wrap around the forearm. This will aid your consistency, especially in offhand.
Rests and bipods...Use them when possible, but use them correctly. Changing the pressure point on your forend will change your POI. This is usually amplified with lighter contour barrels. Quality glass or pillar bedding can alleviate this, but it will still be an issue even on the finest rifles. NEVER rest the barrel or bottom metal on or against anything.
Practice. Dry fire helps, but only live fire will tell you what you can realistically accomplish in the field. Over many years of mentoring hunters, youth and veterans, I've found that most shooters, even with the best gear and well developed rifle skills, are REALISTICALLY 200 yard field position shooters on game at the furthest. This includes guys that qualified Expert in the USMC. Not until you get into guys that shoot a lot of competition of various sorts the realistic effective range begins to increase, but they're not generally shooting 6 1/2 pound rifles. Keep your expectations reasonable. You're toting an ultralight hunting rifle, not an F-class rig. It's designed to hold at best 1.5 MOA from a bench. 3 moa from a bipod or improvised rest would be realistic. Guess what, not including wind, that puts you at 200 yards prone or rest, maybe 100 offhand if you practice a lot. Hunt your game, don't snipe it.