styles in a MiniFrame

I'm using a wx.MiniFrame as a second frame, because I don't want it on the task bar, and I want it to have minimal NC area. The frame is intended for use on a second monitor, to be full screen most of the time.

I'm trying to get the smallest possible top bar, but I do need resizing, maximize and close functionality. I'm trying the styles:
    style=wx.SYSTEM_MENU | wx.MAXIMIZE_BOX | wx.CLOSE_BOX | wx.CAPTION | wx.RESIZE_BORDER,

But the top bar is full size (same as conventional frame), and there's no maximize box, nor button for system menu. There is a close box, though. And I can maximize by using the system menu (right-click)

wxPython version: 2.8.9.1 (msw-unicode) running on Windows XP

Thanks, DaveA

It’s a bit of a harsh, but you could use a shaped window and make the buttons yourself.