Unless you plan to do full-on, self-supported loaded touring go for the Cross Check. It'll handle just about anything you throw at it and will give you a snappier ride since it has a shorter wheelbase.

If touring is your true desire the LHT has some advantages; a lower bottom bracket for a lower center of gravity, longer chainstays for more heel clearance, spoke holders.

These bikes have been discussed here extensively, hence the lack of interest in your thread. Both would be a fun build. Are you planning to start your project soon?