try Murray Bridge, if you are on the way from Melbourne. About an hour from Adelaide up the freeway. Good mild sand dune use on may holes, kikuyu fairways with small, pure greens. Good green complexes, and a mixture of short holes and long holes, and a couple of shorter pa 5's. Lots of fun.
Otherwise, you are heading for the country - south-east or riverland. Plenty of options there.
The other options around Adelaide are 'a game of golf' with many having good conditioning, especially with the wetter winter this year. However, in terms of architecture, well...
One of my preferences in that area is perhaps the least conditioned. Thaxted Park, in the far southern suburbs. Built on ordinary soil but with good use of a wash-out creek bed (The Californians would call it a barranca) throughout the back nine. Some forgettable holes, but also some memorable ones. Several good green complexes but few bunkers. Definitely a ground game course, especially in summer. It can get very hot in summer, and 'fast and firm' is probably an understatement. If you have a sense of humour you will enjoy many of the holes.
James B