Do you intend to pack out all of your expended hulls, plastic wads and clay target shards? Or do you intend like so many others to leave all that crap behind in the forest for others to find? There are few things worse for the image of gun owners than discovering where some slob shooter has littered public lands with the refuse from informal clay target shooting.
There are about a dozen clubs to shoot clay targets within a couple hours drive from your location. Most of them permit non-members to shoot. Why not use them as opposed to risk being a slob shooter?