easy access private hut in Tas?

[Tortoise]

I posted this the other day in the Market Square, but it kind of belongs here too, so....

Looking at Thurs – Fri nights next week with a friend who needs some time out. Limit at the mo is about 4 km pretty flat walking in with packs, so considering non-pack carrying options as well.

Our dream list:
• A very basic little hut/shack to ourselves
• ... with wood heating of some kind
• Flattish day walking nearby
• No power
• Inexpensive
• Not on a main drag or on the doorstep of other shacks
• Vaguely between Hobart & NW coast – eg Central Highlands from the Lakes Hwy, Midlands-North or maybe East Coast

I’ve considered a few public walk-to huts, but of course we won’t know if anyone else is there till we get there – and it’s school hols. I guess the only way to be sure is to go to a private hut or shack. Anybody got one they share or know about??? I know it’s a pretty big ask...
I've considered scout places if available, but not really what we’re after.

Thanks for any thoughts.