https://www.fs.usda.gov/activity/okawen/recreation/otheractivities/?recid=57113&actid=106Quote:
Target Shooting
The forest is generally open to this activity. We do not have a recommended area for shooting. However regulations do address areas where the activity is specifically prohibited (such as campgrounds, administrative sites, rental cabins/ lodges, etc.). See below. Exploding targets are not allowed anywhere on National Forest. Additionally, hanging targets on trees is prohibited because it causes resource (timber) damage. It is best to find an earth slope as a back stop to any shooting activity. Other municipal and county ordinances may apply. Most municipalities prohibit shooting within 1 mile of the city limits.
36 C.F.R. ยง 261.10 --
Prohibited:
(d) Discharging a firearm or any other implement capable of taking human life, causing injury, or damaging property as follows:
(1) In or within 150 yards of a residence, building, campsite, developed recreation site or occupied area, or
(2) Across or on a National Forest System road or a body of water adjacent thereto, or in any manner or place whereby any person or property is exposed to injury or damage as a result in such discharge.
(3) Into or within any cave.
In other words, if the area is not prohibited, then it is permitted (see also:
Nulla poena sine lege).