Just because it is state land does not give you rights to be on it. There are tons of what they call "school sections" in SD and WY. They are state owned but NOT public property. You can and will get prosecuted for tresspassing.

The state leases these lands to private landowners. The leasee has the say as to what goes on there, not the state. Get permission before going. The DNR won't do you any good, you have to find out who leases the land and talk to them.