"303 See Other" is the correct post-POST redirect response: http://rfc.net/rfc2616.html#s10.3.4 which your first link suggests works in all browsers.
Well, taking a closer look, 303 doesn't work in Netscape 3 or 4.
CGI.pm always returns a 302, though, if necessary, I can edit its reply in my script before printing it. I'll give this a go.
This didn't work. Got a 303 link page instead of a 302 one.