Yep. Or try to find a group hang and see if someone can bring one of their bridge hammocks for you to try out. If you were closer to the Pac NW, I'd let you try mine, darn it. I get pretty flat and can lay on my stomach, but my back does start to bug me after a bit, but this is due to some old back injuries from a few car accidents when I was younger, so I'm not really a good yard stick to gauge from.
I can tell you that some folks who love to sleep on their stomachs on a bed actually prefer to sleep on their sides or back in a hammock. I think it's because of how the hammock supports the body -- much different from a bed. You might just try a normal hammock, put a pillow between or under your knees, and see if it'll work.
My best to you, whichever way you end up going.