The only high schools here in Scotland that have anything like stadiums, just a single stand really, are the rugby crazed private schools in Edinburgh. For example, here is a blog entry about the Stewarts Melville main pitch (of 6) at Inverleith in Edinburgh where I often spend time watching my son play:

http://ian38018.blogspot.co.uk/search?updated-max=2011-05-25...

Also, I couldn't help noticing that the Eagle Stadium is paid for by taxpayers.... :-)