Depends where you live, where you ride on the weekends, and what the terrain's like on both. IIRC, the CC only has a double up front, while the LHT has a triple. You can stand to climb that little ride most days, but after riding all across the county over the weekend, you might need a low gear Monday morning.

And if you're insulted by the handling of the LHT, take the panniers off and switch to lighter tires. Feels like a whole new ride!