Oh, don't give up on the dog park quite yet! Luma was the same way her first time. The first time we went, a med. sized dog that IMO should've been in the big dog section, tackled her >
After that, anytime a dog would come near her she'd flatten herself to the ground and be submissive. Which isn't a BAD thing, but half of them would hump her which I do not like at all, even if she wasn't in heat. Agreed, bad social graces.
the dog park is her favorite place, second only to in her mama's arms OF COURSE
And now she even has her own little spots she thinks are "hers", like a tree stump and one of the benches. She sticks up for herself now, and runs around and plays with the other dogs. Still working on getting her to like the little dog pool they have there though
lol.