Is it legal to clay shoot or target shoot here?

No, you cannot clay shoot there.

I dont think so

Badin lake has a shooting range

No

Seeong how its a national park, I'll say no.

Im pretty certain that's a no go. As it is a national forest, there are some hard cut rules regarding the use of firearms inside the boundaries. It would be best to contact the local ranger station in Troy, NC.

I do not know that