Do you have any control over who gets to advertise?
I know the bandwidth has to be paid for somehow, but Google ads are exactly what creeps me out whenever I visit WP. If you don't mind me asking, where did you see the JRC ad? I've seen it before (not on an Aspie site, mind you, but on some odd ethnic news site that happened to have an Asperger's article on that particular day).
The only alternative I can suggest (aside from soliciting donations from users) is merchandising, through the likes of CafePress or somesuch.