I have bought some infrared LEDs from local electronic stores, and they usually work very well. So check around and see what you have locally in your city.
The larger the viewing/emitting angle the better. This means it'll be easier for FreeTrack to see your LEDs when your head is pointed away from the camera or wiimote, just like what you suggest.
But, you can turn any LED into a wide-angle LED simply by filing it down using sandpaper, a nail file, rubbing it on concrete, etc. File the plastic tip down to 1-2mm above the metal components within the LED, and you'll now have wide-angle LEDs!
Good luck!