the 1:100,000 scale tasmaps would probably have enough detail to get by if you are on fire trails. If you get onto smaller walking tracks then the 1:25000 scale tasmaps for the particular area has the detail. The map shop in Elizabeth St, Hobart is very helpful.
There are also lots of the map apps on smart phones - some of which require a phone signal & some you can install on your phone & don't need a signal. (one of the last topics on this site related to phone maps).
I use Memory Maps for all of tassie on my phone & don't need a signal or use data - but I had already bought the computer version of their maps which made it a lot cheaper for the computer licence.
Another option is the 1:25000 scale topographic maps on
www.thelist.tas.gov.au