The solution isn't very simple, but it's easily overlooked:

Switch the display mode to Cartoon or Cartoon-with-Lines, then render as a one-frame animation.

Animation menu --> Make Movie
Set the Sequence Type to Image Files
Set the Quality to Current Display Settings
Enable antialiasing
Set the Time Span to Start 0:0:0:0 and End 0:0:0:0 (1 frame)