If you have a beam, you could put an LED every 30 degrees or so as an aid to pointing and only need 12 LEDs.
One per time zone would get you up to 24 LEDs.
One per CQ zone would be a good compromise, 40 LEDs.
One per IARU zone would be 85 LEDs (I think, never remember the total)
One per DXCC country would be less than one per grid, get you up to 350 or so LEDs!
Since CQ zones are used in a lot of contests, that'd be my choice.
73 John K3TN