Oh dear. I hope that we hven't overlooked communicating an important part of the rules for you, Josh. The lists of UFAs and RFAs provided are those players *already in teh league*. There is an important third class of players you are eliible to sign, that is players who are past draft eligibility, but who are not already signed in the HFNHL. Obvious examples this year are guys like Jonas Gustavsson, Tyler Bozak and Matt Gilroy, and there are many, many others who might be worthy of consideration.
Even a team that is not interested in any of the established players available in Free Agency should usually have at least a few "prospecting" type signings like these that they want to pursue... and those offers are submitted at the same time.