Here is an excellent article by Hildy Gottlieb on relying on your board for fundraising.
I'm a little on the ropes about the message: your board doesn't want to fundraise - get over it. She outlines some of the challenges nicely, and gives an alternative - "friend-raising."
Ok. At the end I don't really buy the premise, because there really are ways to use your board for effective fundraising. Don't give them a job they hate. Instead, give them the "mission" that best suits them.
I look for one of the following three roles from a board member: