I actually think that situation would be ideal, personally, but USA Hockey disagrees and does not sanction 3-4 officials for lower youth or adult recreational games. While availability would not be an issue even with the relative shortage of refs in my city (I'm skating 5 games today, whee) for using 3 officials, obviously, since we're paid, hiring only 2 officials is cheaper. That's the main reason really, since I personally feel that 2 refs/2 linesmen is the optimal system, but leagues here pay $80 per game for officials, and after union dues and stuff it's about $34 that goes into my pocket for an adult league game. I'd rather skate the 2-official system and get paid $34 than skate the 4-official system for what would be about $18, considering the leagues would be unwilling to pay $160 for 4 officials instead of $80 for 2, even though 4 is more ideal.