The LHT, position-wise, might be best, but it's designed for heavily-loaded touring and handling under the weight that goes with it. Unloaded, it's probably not terribly responsive.

I'd take a closer look at the Cross-check. It'll do paved, unpaved bike path-type things, and light touring--just swap out the tires if you want. There are fit tweaks for a more upright position that can be done. It's probably heavier than a bike specifically to race CX, but that's not a big deal, provided that you can still lift it. (That's all I ask for in a bike, really.)