Hmmmmn... Doing an inlay of a fingerprint is a cool idea. If you are looking to do a print life sized, you will loose a lot of the detail in the print. The best approach may be what Clif suggested: Dip your hand in some red, and grab the guitar. The problem is, it will look like a blood splatter paint theme with a hand print.
If you are set on inlays, there are a few different red materials that you can use including bloodwood. You could even scan your own finger, and enlarge it to cover the entire guitar & neck, then paint what falls on the body, and inlay the neck. Mike Learn did a similar piece recently that turned out really nice.
If this is your first full build, I would be careful not to try to do too much, and get in over your head. Did I see you post somewhere that you have limited time to finish this build?