I have used, and destroyed, a few Schwalbe tires on hardpack and rocks. the pacestar and trailstar compounds only survive well, for most people, on loose loamy terrain.

Nothing is going to work great on sand that is smaller than a fatbike tire. However, many tires do work well with a little sand or dust on top of hardpack.

I'd use a Maxxis Ikon 2.35. Bigger shoulder knobs than the narrower sizes. Can't comment on puncture resistance as I've been tubeless for years... punctures and pinch flats are not a factor.