You do not need a suppressor for a .22LR.
Run quality Match grade sub-sonic ammo, and a air stabilizer aka air stripper. I have been running that combination on my 10/22T for over a decade and most people thought it was suppressed, it is that quiet. Ear protection not required.
When taking medium to large game, only if you are close, mastered the fundamentals of marksmanship especially in field positions, and are knowledgeable on the anatomy of the animal you are attempting to shoot. When I put my hogs down, it is from no more than 15feet, from the standing, and I know full well where to place that shot to drop that 250-300lbs hog right there.
Even then, things do not always go right. I had one bad shot, when just as I was squeezing the trigger, the hog moved his head and I got it in the nasal cavity. Not a good day. Took 10minutes before I was able to get close again, and the hog to presented me with a good target.
Around here, my .22 air rifle gets the most work out. Mostly rats, the occasional squirrel or rabbit.
I have a friend who runs the same air rifle in .25 and has taken a dozen or so ground hogs out to 60yards. Just as quiet as my .22 air rifle.
With the right shot placement, he could take coy, fox, bobcat, and even deer. But shot placement is key for any firearm when used for hunting.