[Enigma's puzzle]

I would send out some letters to some potential sponsors in your area, offer to do a presentation, if you have a good team website, put the url in the letter, or offer to go to there place and show a team video, and/or talk to them about FIRST.

If you talk to a lot of the businesses around you, at least sending out a humble and graciously written letter, you will get a response. Look especially at engineering and machining businesses, as they could be a valuable resource besides money in the upcoming seasons. At this point in the season i would avoid Corporate firms as they have large hierarchy to go though before you will ever see any money. They are the types of sponsors you talk to in the off season.