From memory there is a fair dip in the main rwy at BHI.
Not sure if Mario's Palace in town is still open to the public (Mario was in very ill health last time I was there) but worth a look at the wall and ceiling artwork (as in Priscilla, QOTD).
If rain has occurred in the bush check the NOTAM for the gravel rwy at BHI - I came in from Muloorina HS without checking and found the little white cross at about 200 foot off the deck on final thus saving a possiblly very shortfield landing aided by mud
Muloorina (roughly N and not far from Marree) is a good stopover but you cart your own BBQ grub/grog. They do a 4wd trip out to Lake Eyre.