I'm not sure if I have located the right information but if the cuts you talk about are apart of this study you might want to start here:

http://www.nmschoolfunding.org/

The results link gives PDFs which gives you the data as well as those involved.

Questions: are you going this alone? Is the charter community willing to take on the fight? You are looking to lobby which means you will have to be a voice for a cause and the more voices you can channel the better.

1. Research the proposal. Talk to the administration of not only your charter but others. The more the better. Find out the structure of budgets for these schools. Some charters have private funding while some are an extension of the public schools. How is your charter structured?
2. Once you have all the research and the answers to your questions; contact the media. Your voice needs to be loud and public. Lay the groundwork to show the hardship this will cause.
3. Charters are getting national attention right now due to Oprah and her donations to 6 schools across the country. As the topic heats up about the national crisis in education it is the charter schools that are held up as the schools to mimic. Might be an angle for you to exploit.

I will think about this some more but a little more info would definitely help. The site I reference... Is your school effected by this specific study or is it another one?