100's of aircraft have been homebuilt by wet CF layup using the foam plug method pioneered by Burt Rutan. For backround I would read " Composite Construction for Homebuilt Aircraft" by Jack Lambie and "Understanding Aircraft Composite Construction - Basics of Material and Techniques for the Non-Engineer" by Zeke Smith. The second book includes basic structural analysis. I have read that several FSAE teams are building in CF.
Burt Rutan's company - Scaled Composites - is hiring. See the Home Page. Gain experience and a paycheck. What could be better? Who knows - you may one day open your own company building CF monocoques. Look up Burt Rutan on Wikipedia for some backround before sending in an application.
What I am hoping to convey is that anything is possible. Don't be discouraged. Although I do agree that CF is in short supply.
http://www.scaled.com
There are a couple of things I would discourage you from doing - brain surgery and aircraft control. Almost anything else is possible, including CF fabrication.
Most small constructors are using space frames of 1020 steel tubing. Notch and Weld. Read " Racing & Sports Car Chassis Design" by M. Costin. He designed several F1 spaceframe cars for Lotus. His book might be useful. He did some notable work for a company called Cosworth. Acutally - he was the "Cos" in "Cosworth". Quite an accomplished gentleman.
Edit - Appendix 1 of RSCCD - Chassis Stress Calculations.
Appendix 111 of RSCCD - Suspension Calculations - aided by contributions from someone named Keith Duckworth - I suspect he was the "worth" in Cosworth. A111 deals with roll angles and cornering wheel load equations.
Besides CF - Fibre Glass - is a possibility - The Lotus Elite and Chaparral CanAm Group 7 cars all used fibre glass monocoques - a cheaper alternative to carbon fibre.
Vacuum Resin Infusion - I've seen it done with a plastic bag and a Shopvac vacuum cleaner. Primitive - also dangerous due to the possibility of sparking electric motor causing an explosion - don't try this at home - but it worked.