Suggest you consider a 2:1 pulley launch. Gets the rope up off the concrete during the launch very quickly.

We've done 10 or so at Sunflower. 4000 feet of rope on a 7000 ft runway. Easy 1500 ft launches in our nose hook equipped 2-33.

Only time the rope drags on the runway is when (very slowly) resetting the rope after the launch.