Well contrary to popular sentiment on BHW I think you SHOULD disvaow links if you have been spammed. Unless this is automated (which it may be) that would mean they have to devote a bit of manpower to look at the site affected as well as some of the sites pointing back to you. The more work it creates for them the more $$$ it costs them and we all know they are about the $$$.
On the other hand if it IS automated then you can safely spam your site and if it hurts you then you disavow the links which have already been provided for you by your link provider here on BHW.