Hi, I'm an Australian physicist/data analyst who loves data processing and automation. I've had a look over the site you're looking to extract data from, and there are a couple of complications;
The 'next' button employs some javascript to re-write the page but only if currently visiting the page. This breaks a lot of automation; the button needs to be clicked. I have managed to script this to visit any specific page number, but I'll still need to do the clicking and save each page. That's not a big issue.
The bigger issue is that after the first 25 pages (450 results) the 'View feature page' option disappears, leaving just the simple details for the remaining 9262 schools. I'm happy to do the processing of those first 450 schools (complete details, it seems) for $100. I can process the remaining ones for an additional $55, but it looks to be only name, address, and phone number.
Alternatively, I have lists for NSW, SA, and WA that have complete details for the majority (name, address, phone, and email). I also have the non-email details for VIC. These are available now for $150.
Please contact me to discuss further. Regards.