One more thing I forgot to mention. In Vicksburg, in the southern part of the city, the National Military Park used to own land. That land was given over to the city in the 1950s or 1960s I believe. But there are still position tablets, markers, monuments, etc. in the woods and in other areas that give it the "national park feel". Although, many of these markers are neglected.
Being city property and NOT National Park Property you can still access some of those areas to hunt. But many of those places they have a lien with private landowners. I have been able to access some of those areas over the years with NO PROBLEMS at all from the city of landowners. Just need to approach it the right way. On one such piece of property, there were lots of historic markers and existing Union earthworks and I obtained permission from the land developer before they made a retail development out of it! I ended up finding TONS of good relics before all the earth was moved. A whole hill was taken down. They destroyed the earthworks AND hauled off the historic markers, position tablets, etc. The physical evidence of that history is now gone...except for the relics I was able to save. I was also careful to catalogue what I found and where I found it.