I'm an ex-target shooter. After seeing what irresponsible folks do to the desert I don't want to be associated with the activity.
My understanding of the current rules is: if you shoot at anything other than paper or cardboard targets or other approved targets, you will be ticketed. If you are shooting at trash (empty bottle, refrigerator, TV, etc) it will be assumed that you brought those items out and dumped them, and you'll be ticketed for that too. If you don't police your brass, you'll be ticketed. In my opinion, they have taken the right direction to try to curb bad behavior while still allowing target shooting. If that doesn't work, they'll probably take away our privilege to shoot firearms in the national forest.
FYI- Game and Fish and FS LEO's have been known to set up spotters and monitor target shooters from a distance. If you go out target shooting, always assume someone's watching.
As far as where to go- the Sycamore area, including FR402, is certainly popular for shooting. There are mild to moderate to wild wheeling opportunities further north and west in the area. TRAL offers a map of the area on the Avenza app for like $2. Download the free Avenza app, go to the Map Store, and search 'TRAL' or 'Tonto National Forest - Sycamore Creek and Rolls OHV Areas'.