i doubt your going to get very far with that many out links. i would suggest having 1 outlink to another site. I.E. free site #1 links to "bonus free site #2" 2 links to 3, 3 to 4, 4 to 5, and 5 to 1.
that way they all link together but it only takes one out link to do it... i think this is the only way you will get listed with such a project, which is a good idea in my opinion, crosslinking rocks