If you're worried about spooking game, best to skip the 22 entirely, 3lbs is 4 cans of corned beef/spam.
That said, I'm doubtful that gunshots on their own disturb game (but I don't know what I don't know). I've shot deer and had other deer not even flinch at the shoot. I've had bucks wander by while I'm sitting having a tea beside the buck I just shot (prior to field dressing). I've blasted targets in the bush 20 or 30 times, packed up and left and seen deer feeding just around the bend in the road. I could go on and on. What deer and elk seem to react to is others in the herd being hit, not the actual shots. I shot and missed (bullets were hitting a rise in the ground between us) 4 times and the deer never reacted, the 5th shot dropped the buck on the spot, the other deer then cleared out immediately. I've watched bedded bull elk not even react to gunshots. I could go on and on.