This is very easy to do without the post data:
NSURL *url = [NSURL URLWithString:@"http://www.unpossible.com"];
[[UIApplication sharedApplication] openURL:url];
Can't find any indication that it's possible to do what I'm after.
For my purposes, it's not acceptable to embed a WebKit UI; this needs
to launch Safari (which, of course, exits my app).