I understand where you're coming from. If someone does want to donate to a charity, make sure you do it as anonymously as possible! Never provide any kind of legitimate contact information or they will hound you like a swarm of mosquitoes.
I ran into this problem with Habitat for Humanity. Before Caller ID and when answering machines recorded on tape, a caller would call every day at about the same time and hang up at a point where my answering machine would run the tape to the end with nothing on it, preventing any legitimate callers from leaving a message. One day I was home from work early and at the time of the mystery calls the phone rang - it was Habitat for Humanity who I had donated to just a couple of weeks earlier. I made it clear that their calls were unwelcome, and lo and behold the "mystery calls" stopped.
NEVER give any charity your contact information! They will hound you day in and day out!
I have had the same constant, daily calls from them. They use multiple numbers. I followed the advice posted above and it seemed to work.
Call them back at the number listed on your caller ID, press 1 then 3 then 1 again. They will confirm removal. Now lets see if they do it.
AICR is a professional fund raising group that uses cancer as the basis for needing cash. It stays within the law and does provide some funds for diet, obesity and other general stuff which is common and available in any library. I get 90 or more calls a month from them using automated equipment. I have asked them to stop. They do not.
I find it interesting that the BBB says they are legitimate. BBB has only received ONE complaint in three years. BBB seems oblivious to AICR driving thousands of citizens up the wall with their robocall fund raising techniques. This says something about BBB I suppose.
Maybe if you contact BBB at http://www.bbb.org/us/complaints/ your call might be the 2nd one they ever received about the misdeeds of AICR. Save your money and avoid scams like this one.
The BBB is a scam in itself. The business I work for used to be a BBB member, but when it became apparent that you can pay to have your ranking as high as you want it to be, my company no longer wanted to be a member. (The same is true for Angie's List, by the way; it is true that you cannot pay to BE on Angie's List, but once you are recommended to be on it by one person, you can pay to have your company rank highly and to be recommended to Angie's List members.)