The LHT is their fully loaded tourer and the Cross Check would be a slightly lighter tourer but both have fittings for front and rear racks, fenders, wide tires, etc. For the price, you can't do better.
Well...you probably can do better. Surly/QBP thinks their stuff is gold plated. The person who started this thread is from Sweden. Not the US. So if they buy a Surly in Europe they will pay that extra price. Doing a search I found the Surly LHT for 945 Pounds in UK. $1.55 per Pound equals $1465 for a LHT. In the US the LHT costs $1275. $190 upcharge for Britain. Then I found a place in Sweden selling the LHT for 12699 Swedish Krona. 6.35 Krona per $1. So that works out to $2000. A $725 premium. If you buy a Surly in Europe you are paying more than the US price. A Surly may be a poor economic choice in Europe. You can likely find a much lower cost alternative that will perform the same. In the US the Surly LHT is competitive with others like the Trek 520, REI Novara Randonee, and othr touring bikes. All are similar in price and components and function. But in Europe Surly adds a premium because of its "American" name. More than likely you will find other brands with the same function at a lower cost in Europe.