The only problem with CX bike is that you're sacrificing suspension. I have one that I love, but riding on gravel isn't as much fun as I originally envisioned and now I use it mainly as a road bike (which you already have).

It sounds like maybe you've outgrown the hybrid, since now you're in the country. A hardtail mountain bike would prepare you for the trails or the gravel road (I ride mine on carriage trails).