AFAIK, many of Phuket schools just want your money. They offer you "cheap ED visas" first (about 12-15 thousand baht), but you pay a lot more for that extensions, tests and everything they want. I prefer to pay one time 25-30 thousand and no problems for a year of studying. And yes, extension costs only 1900 all over the country. Everything else from that 5000 goes straight to the pockets of school owners and/or immigration officers.
There are (or was) two types of Non-ED visas. Single entry and multi-entry. I know only about first one. You get papers from school, go to other country, visit Thai embassy there, get your visa, come back to Thailand, get 90 days stamp at the border. After 90 days you get papers from school, visit your local immigration office, pay them 1900 baht, get another 90 days. Totally for 12 months of stay in country. That's all.
Well, that's visa exemption. And, for example, citizens of Russia can extend 30 days only for 7 days more. So it depends on your citizenship, at least. Same visa exempt, but different countries - different rules. If you want to stay more than 60 days, it's better to get Tourist Visa at Thailand Embassy/Consulate in your country.