Unfortunately, I have not walked in this area much at all. Therefore, I will give some answers that are based upon the information available online via the LIST (
http://www.thelist.tas.gov.au). The benefit of the LIST is that you can switch between the 1:250,000, 1:100,000 and 1:25,000 topographic maps as background imagery and add layers to provide information about roads and walking tracks, etc. E.g. The 1:25,000 maps of the Norfolk Range are too old to show the "Road to Nowhere" (aka Heemskirk Road, aka Tarkine Road, aka Western Explorer, etc). The road layer on the LIST is kept very well up to date.
Looking at the map, there appears to be a track up Mt Hazelton, the northern most peak in the range. Bob Brown wrote a book called "Tarkine Trails" before 'the road' was built. In it, he describes walks to Mt Donaldson, The Longback, Mt Sunday and Mt Balfour which are in the vicinity of the Norfolk Range. These walk descriptions combined with the new road could give some tips about walking in the area.
I was quite interested in the Norfolk Range until the road was built. Now, sadly, the road would appear as a windy white ribbon of quartzite as it snakes its way along the ridge tops just east of the range for most of its length. As it was built very cheaply and in a huge hurry, the quickest and easiest route was along the subtle ridges through the boggy plains. This was great for drainage but not so good in terms of hiding the visual impact of the road.
To finish, I'll quote one bit of Bob's book which is actually a quote from Jorgen Jorgensen describing his 'walk' through the Donaldson River ravine: "Fallen trees in every direction interrupted our march, and it is a question whether ever human beings civilised or savage had ever visited this savage looking country. Be this as it may, all about us appeared well calculated to arrest the progress of the traveller, sternly forbidding man to traverse those places which nature has selected for its own silent and awful repose."
P.S. Mattanitah, I think your last post here has blown your cover. You are just a mad peak bagger who is attempting to scavenge a few measly points out of the Norfolk Range to count towards the Tasmanian Tramp's "Peak Baggers Guide to Tasmania."
P.P.S Perhaps it takes one to know one.