Is this a bad idea?

Between now and fall/winter recruiting for 2010 summer analyst stints I was really hoping on getting some investment banking exposure on my resume. Unfortunately, the closest internships I managed to land were at a wealth advisory firm and doing data entry for a small fund of funds. I've been playing with the idea of reaching out to small middle-market banks here in LA, small banks that I probably would not want to work at full time or spend my 2010 summer at. I would essentially be trying to weasel my way into an informal unpaid internship or mentorship regardless of if they have a formal program or not by cold-calling MD's/key personnel.

Would contacting these firms in this manner and suggesting this sort of gig be wise? I don't want to get myself black-balled from the field. I was hoping to minimize this risk by only contacting the smaller firms I had no aspiration of joining full time. I highly doubt any of the firms will entertain the idea but I figured it would be worth a shot.

Thanks.