The closest decent tent camping is in Benton LA on Cypress Lake at the Cypress Lake Park. There are also camping sites at the Caddo Lake State Park in Oil City. Just over in E. Texas is their Caddo Lake Park and it is very nice. There is a place that was a KOA on the west side of Shreveport but I am not sure what it is called now, but I work about a mile from it and can get you the contact info if you want it.
The campground on West 70 th street was a KOA. They moved on because the neighborhood was getting worse. The main reason--construction hands-- moved in and consumed the entire area. Nothing wrong with that --I was a hand myself. There was no room for tents as they got more $$ with the camping trailers etc. The lakes would be much better places. Thank you.