I bought a new LHT fitted with Continental Sport Contact tires.
Got a puncture first ride, and another the second ride - both from stone chips which penetrated the tire. Coincidence maybe - but this really shook my confidence in Continental touring tires.
There wasn't gonna be a third time - I immediately replaced them with Marathon Supremes.
But the Supremes are probably going to be a little light for your purposes. For an all rounder with a nice balance of weight, durability and puncture resistance I would choose the Marathon Mondial HS428.
I just ordered 3 Schwalbe marathon Mondial DD Tires 26X2.0 at $30.99 USD times 3
=$92.97 from Wiggle(dot)com msrp 89.52 and I will be happy with them on my Surly LHT