Hi Xige
TSIRC are not a rates based council. Instead, there are household waste management charges https://portal.lgsolutions.net.au/Fees/Public/TSIRC
Seaswift operates 40-foot (12m × 2.4m × 2.6m) containers on their barge service. You can assume tonnage of compacted waste able to be transported in this.
You can assume $4,500 shipping cost for that container for transport back to the mainland (you can also work out your $/tonnage rate).