Who do I talk to about an abstract research proposal?

I more or less am interested in structuring a psychological (and ultimately physical) research project. I’m an undergraduate science student, about halfway done with my studies. The research project I’m considering is unrelated to anything I’m currently required to work on for school. Just a personal curiosity, though it would be spectacular if I could also get some kind of academic credit for the project. With that, is this something that would be acceptable to base a grant application on? If things go according to my image, funding /will/ be needed (and I don’t imagine that my school will cover the costs).

Ultimately though, I have no idea where to start (aside from the idea). I’m not sure if it’s something that I should bring up to my advisor or professors since it isn’t part of the curriculum per se. I also realize that my image is kind of big (I’m thinking 6 month to 2 year long study) and I may or may not have the worlds worst self-esteem and be kind of reluctant to even speak seriously to someone about it :x

Working on a proposal tonight. It’s still fresh, so I expect lots of tweaks along the way. Constructive criticism is a good thing.

*Just so you know that I’m not entirely coming out of left field here: I’m majoring in biology, chemistry, and neuroscience, and minoring in psychology, geography and geology. The focal point of my study will be body dysmorphic disorder (which I’m willing to change to broaden or consider additional aspects), which is something that I struggle with (along with a slew of other psychological troubles).

Any suggestions are greatly appreciated.
Questions are welcome.
Thanks in advance!