Your answer depends on the state you visit. The United States Shooting Academy in Tulsa, OK has a huge outdoor range, and provisions for shooting suppressed and full auto firearms with their instructors. However, to BUY such items requires a United States Federal permit, and permission of law enforcement in the individual state. Some states prohibit them.

I personally don't own a .22 rifle suppressor, but listening to them shot at the range with subsonic ammunition, they sound about like a .22 air rifle, and can be safely shot without hearing protection (provided others are not shooting non-suppressed firearms at the time). Suppressors are common in Oklahoma, and are legal for hunting here.

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Science plus Art