From Lathrop Saddle, the Browning Range can be followed to a bluff at about J33 677081 / BV19 577 465. Though climbable, with heavier packs this obstacle can be passed on the Styx side about 100 metres down. As you might infer, Cairn Peak has a big cairn on it. There are often rock wrens around, but they didn’t build it. The basins through here are very pleasant, and Tyndalls Knob can be bypassed in them leading to Whitehorn Ridge.
Fabulous but open campsites exist on Whitehorn Ridge at about the 1500-metre contour with
tarns. Below the 1440-metre contour, the ridge drops on stable rock and tussock bluffs. These can be bypassed via the old Whitehorn Bivvy site at J33 658061 / BV19 558 445 (not the position marked on older maps). The partly collapsed bivvy has been removed. To bypass from the 1440-metre contour on the ridge, head east and descend the marked creek that heads south, then sidle across a basin to Whitehorn Ridge again by the 1300-metre contour.
Follow the ridge down on tussock leads. A very overgrown track begins in the scrub basin below here and white permolat may be found at J33 659047 / BV19 559 431. It is just followable, with care, and after about 500 metres leads into a narrow channel gully overhung with scrub that gives fairly open travel for some while. Markers disappear. When it gets rougher, another gully 30 metres to the true right also gives fairly open travel. When that gets gnarly, the ridge 100 metres to the true left leads down to finish about 100 metres west of the Crawford swingbridge. Expect to bushbash. Times: Lathrop Saddle to Whitehorn Ridge scrubline, about 6 hrs; Whitehorn Ridge scrubline to Crawford Forks, 2–3 hrs
From Mid Styx Hut there is a marked route onto the tops of Cairn Peak.
Mid Styx Hut (4 bunks) on the true left of the Styx River, and tracks to it, are currently maintained by Permolat.