If you can, get some better rubber on before the trip. It might still be a drought, but mud is still very common in tasmania, and often is the predominant type of terrain that you will encounter.
A drive down ocean beach is always nice as well and it's not all that difficult, however if you go too far north from the hells gates end, you may encounter quicksand, and for a vehicle that is very dangerous. Under 1/2 an hour before you say goodbye to your vehicle.
Not much 4wding on Bruny island to be had, just one beach run and a couple of roads. I did a trip report on my trip there recently, and that includes which caravan park NOT to stay at. It sounds like you have most of the 4wd tracks in the area covered though. if you don't have the 4wd tracks in tasmania book then it would be a good investment.
http://www.roving.com.au/
1994 Discovery TDi
2004 Discovery 2 TD5
2010 Discovery 4 TDV6
1961, Series 2 Ambulance. 108-098 - Eden
Registry of Ex Military Land Rovers Mem. 129
Defence Transport Heritage Tasmania Member
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