Consult the ODW regulations about each individual WMA on the CORP lands. There were recent laws passed that allows CCW on federal lands now, IE Yellowstone, or where ever. The CORPS land in my area (Kaw Lake) during hunting season has every RV/tent/camper with guns and hunters. They hang the deer from trees in the camp ground.
The federal land thing only applies to lands owned by the national parks service. This allows whatever mode of carry is legal in the state where the land exists. You are allowed to hunt on CORPS land, but you can not carry a loaded firearm when it isn't hunting season.