There is some good rock climbing on this mountain, notably the red pillars of the lower North West Ridge above the Reay Valley. More routes could be climbed here.
Access to the Reay valley is currently straightforward (February 2015). Walk up the Tasman Glacier then ascend a prominent, rightwards-leaning moraine ledge on the true right of the valley entrance (the true left looks impenetrable). Once in the valley, sidle upwards on the true right to the confluence of the Reay and Walpole Streams where small campsites among snowgrass can be found. From Ball Shelter to the confluence of the Reay and Walpole Streams takes about 6 hours.
Above the Murchison valley, access to the terraces beneath Novara Peak and Mt Johnson can be found up the slopes beside the Burnett Glacier. Between the Burnett and Lecky glaciers lie tussock basins with good campsites, but there are steep walls leading from these terraces down to the river.