Is there camping at this state park? I tent camp a bit and do go further down to the Francis Marion National Forest. But this would be closer and a new area to camp at.

There is no camping at the park, but 1.7 miles down the road there is tent camping available at the Elmwood Recreational Area (via the National Forest).

No I didn't see any. Mostly just a house and woods

Buck Hall recreation area is close by in McClellanville and they have tent camping sites