When looking for a science school, you must bear in mind the type of science you are studying (Physics, Chemistry, Biology, etc) and the level at which you are studying. If you are studying primary school level science then a general science teacher will be enough to cover the syllabus. If however you are studying HSC level science a more specialist teacher will be required for each of the sciences.
There aren't many dedicated science schools around, with most people relying on their normal school to provide a breadth of teaching across all three sciences. There are plenty of science teachers and also graduate students that teach privately so you may find this an alternative to looking for a science school.