Wilpena pound has a number of walks ranging from about 1-2hrs through to the all day St Mary's Peak which has some climbing involved.
Arkaroola, whilst incredibly arid compared to the rest of the Flinders has some great photography. The walk/climb up Griselda Hill, which overlooks the campground, leads to some magnificent views. The various drives around lead to some unique locations such as the old cooper smelter, various mine ruins, huts, springs and waterholes. Coming back from Arkaroola to Wilpena and the Wilpena region feels lush. The Echo Camp track has a number of tricky bits and some of the possible side trips will test your suspension - not for soft off-roaders.
Warraweena has some varied scenery from almost Colorado Rockies (in Rockies summer
) feel through to Arkaroola style arid. From local pines through to river red gums. There are many 4x4 tracks some free (for example through to the old Warraweena homestead), the rest $40 per vehicle. The Mt Gill track takes you to the top of the mount at around 910m and has some interesting bits to make you consider you wheel placement - no soft off-roaders and chances to check suspension travel. Other tracks take you to a swimming waterhole, various huts, steep lookouts (one with a very interesting 3pt turn - make a mistake and you'll have a ride and a half). Various campsites and Stony keeps the long drops in fantastic condition. At Hallies hut (spelling?) the long drop has no door, but that is because of the view.
Have lots of pictures of the region many of which I am intending to enlarge and hang when I get around to it.
Dropping tyre pressures makes a big difference. If you know this already please disregard. I have found that dropping to below 30psi (I usually sit somewhere between 20 to 25psi depending on load etc, couldn't quite come to the 15psi recommended by the owner of Imintji roadhouse...) helps with the corrugations and with protecting tyres as well as traction. I only drop once I get to long stretches of dirt/gravel. Remember to re-inflate before reaching the black-top or otherwise keep the km/hr right down until you do. Do not forget the trailer too if you are towing.
Only times I have gotten punctures were when I did not deflate the tyres. No punctures at Arkaroola, Warraweena, Kimberley, Tanami etc.