Havent look at the tides but........
Stuff staying at Inskip.
Pick up groceries etc in Tewantin.
Get barge over Noosa River and run up the beach through Noosa Northshore and Rainbow. (You've already spent enough time on the black top.)
Refuel in Rainbow, then barge to Fraser.
Being June any site that allows a campfire. (my last stay was at Cathedrals, fire and clean Shitters and showers for the family).
On fraser for 7 nights youve got time to go everywhere.
The weather should be exceptional and you should see alot of Whales going north.
Lake McKenzie and Eli Creek to perve on backpackers.
Lake Wobby to nearly break your neck sliding down the sand dune into the water
Then the rest of the usual stuff.
Also don't rule out the west coast for a day trip.
There will be fish but I'm not much of a fisherman so I will let someone else talk about that bit.
Enjoy it and relax. Put your tyres to 18psi and you should be sweet.