Yesterday Brad left St. Arnaud, located on Nelson Lake, at about 1:30. I'm thinking he spent the night at Lakehead Hut, only 2-3 hours out. I think, given his late start this is a pretty realistic estimate. The next hut (John Tait Hut) would have been another five hours according to the Te Araroa Trail literature. Although, with his new headlamp, purchased for after dark tramping, perhaps this was his hut for the night.
The trail literature promises wilderness ahead so I don't expect to hear from Brad for 10+ days. He was carrying 6 days of food and had another 6-day stash of food waiting for him along the way.