I'd be surprised if anyone, ever, got a low time GA job by emailing an operator. You need to be up here. Some people leave after a week. Some people give up after a few months. How are those people who can't cope living in Darwin (a bona fide city) going to cope at a remote base... Anyway - it's entirely your problem that you have a CPL but aren't in the financial/family circumstances to move up here. Flight schools need to include the "move up north" in their information sessions... it's not the only avenue to getting your first flying job, but it's the most trodden and it's what people seem to be getting told to do after 200hrs and 1yr of training... rather than before they start it all.
There are jobs going in the top end. Depending exactly on where you are, tourism is booming, above and beyond past years. Just like previous years, getting the first job is all about knowing the right people or being at the right place at the right time.
As already stated - talk to people. Not really people at your flight school or sitting round the city - they usually have no idea what goes on up north. Talk to people actually up here. Get involved in the town you move to. So much hiring is based on nepotism. Or at least people that have some kind of rapport with the operator. Maybe they've seen you round town, you've had a chat to them etc. You might not even know they work for the operator. That's the best way - then you're not consciously sucking up to them.