Also check out the Resources page on the
NEMO (Non-Engineering Mentor Organization) website - the white papers are also available here on ChiefDelphi, but are in one convenient place on the NEMO website. NEMO provides support to all four FIRST programs' team mentors who are involved with the non-engineering aspects of the team. Things like fundraising, recruiting mentors, teambuilding, planning travel, etc. NEMO has compiled papers on these topics as well as what to expect at competitions, creating a packet to give to potential sponsors, etc.
I'll be glad to help out if you have specific questions. Congratulations on recognizing that FIRST is something you'd like to see at your school!