[Vikesrock]

Also for the purposes of this competition you can likely use any software that can draw boxes and lines to make a schematic, you don't necessarily need any software meant for schematic drawing.

I say this because the large majority of teams will simply be making connections between "black boxes" given to us or available for purchase. It is not important to have software that can display proper symbols for various transistors or diodes or anything like that as you probably won't have any of these items on your schematic anyway.

EDIT: If you do want to use a tool actually meant for the job I second Eric's recommendation of Altium