I've been out that way a few times now, mainly to Tibooburra and beyond for Gold detecting.
The only issues I see are nearly all the land out there belongs to someone. You'd need to find landowners and find permission. A lot of the land is also quite stony with sharp ironstone and quartz. Take puncture repair kits! Which leads to the next issue - buggying on the roads? Vehicles are rare out there, but I have seen the odd outback cop car! And yes, the dreaded cattle grids and the 'dips' - there are warning signs for those so you don't hit one at speed and compress on the way up the other side.
From a weather point of view, in my experience, the wind out there can be very strong. It's a clean wind - not too many obstructions, but it doesn't half blow ;-) Have seen a couple of outback dust devils / willy willys too. I also remember being stranded out there for the big dust storm that came through from SA, blitzed us in Tibooburra, then carried on to Sydney and made everything red.
Cheers - Rob