I'm not sure, but built-in GlBasic NET* commands are working only on http, https isn't supported.
But on other hand http protocol should be supported on your hosting service, basic stuff like page viewing without user login service doesn't require http, same goes for simple highscores. Are You sure that there is no option to enable http connection in server config even for some particular page that You exactly need?
All depends on what do You need, like for news feed where https isn't needed, there may be some workaround - use some intermediary / proxy site that would be on http server to get proper https feed with some php code.
Inline c++ with some lib also could help but didn't try do to that, for highscores in my game I'm using direct TCP connection to server to have asynchronously download, on http it's working ok.
ps. tried to do pure http request with Fiddler tool to
http://redwizardisland.com, but it states that https is required
