Windy!
I stayed here for two nights during the week in late April 2019.
The weather in late April was generally OK, other than the wind. The wind was so strong that none of my tent stakes would stay in the sand, and when I was finally able to secure a stake by putting something heavy on it, the wind ripped my guy rope. Brutal. I couldn't even start a campfire because the firepit was downwind and very close to my car and tent, and I didn't want them to go up in flames.
I guess the wild horses are OK, but I didn't find them particularly interesting. They are definitely not very shy--one of them stuck his nose right in my tent.
I had my dog with me at this campground--IIRC the campgrounds in this park in VA are non-pet friendly, but the campgrounds in MD are pet-friendly (but I might have that backwards, so check their websites to make sure!).