Finding a Professor for my Honors Project
For what it is worth, I successfully 'applied' for a similar program as an undergrad simply by sending emails to the potential mentors. I used a one or two paragraph pitch, then asked if they would be willing to explore the possibilities. This meant that the professors could have agreed to meet me to discuss the project without committing themselves to anything. It also meant that if I had decided that I didn't want to work with a particular professor after meeting them in person, I had left myself an option to gracefully decline. 

(I ended up with a very successful honors project in this way. Good luck with your endeavors!)