I have a Cocoa application that displays an application-modal alert using the NSAlert class. I'd like the alert window to float above all other applications' windows.  Can this be done with NSAlert, or do I need to implement my own window?
I don't know if any of this matters, but the application is an agent application (LSUIElement is true) implemented as an NSStatusItem. (For more info about the app, including source code, look <here>.)
Here is the code that displays the alert:
- (void)showTimerExpiredAlert {
    [NSApp activateIgnoringOtherApps:YES];
    NSAlert *alert = [[NSAlert alloc] init];
    [alert setAlertStyle:NSInformationalAlertStyle];
    [alert setMessageText:NSLocalizedString(@"Menubar Countdown Complete", @"Expiration message")];
    [alert setInformativeText:NSLocalizedString(@"The countdown timer has reached 00:00:00.",
                                                @"Expiration information")];
    [alert addButtonWithTitle:NSLocalizedString(@"OK", @"OK button title")];
    [alert addButtonWithTitle:NSLocalizedString(@"Restart Countdown...", @"Restart button title")];
    NSInteger clickedButton = [alert runModal];
    [alert release];
    if (clickedButton == NSAlertSecondButtonReturn) {
        // ...
    }
}
I've tried putting this before the runModal call:
[[alert window] setFloatingPanel:YES];
I've also tried this:
[[alert window] setLevel:NSFloatingWindowLevel];
But neither of those makes the window stay above others if I click another application's window.  I suspect runModal just doesn't honor either of those settings.