We don't have a dog park in Shreveport, and if we did i'm not too sure i'd go. I'm visiting my parents in Dallas, TX and went to this Euless dog park. I've heard a lot of horror stories about them but when driving by it wasn't too crowded and we walked around on leash for a bit to see how everyone was getting along.
I only had Dodger and Pyrrha with me and they are both very very passive and submissive dogs so I wasn't worried about either of them starting trouble. Dodger was a bit intimidated at first but then she started running around and playing.
I'm really trying to socialize her a bit and I think this really helped. She started to go up to people by the time we left. We had a great time!