The Exciting World of Campaign Finance Reform

Today I was again dismayed by the sorry state of political campaign financing in the United States. So much money is poured into these contests from special interest groups that the candidate is nearly unable to avoid owing favors to these groups after they are elected.
You can’t blame the candidate too much. In the U.S. you can’t begin to carry on a serious winning campaign without masses of donations. And you can’t blame the interest groups for wanting to have their interests considered by our elected officials. These groups include, not only huge multination conglomerates, but also teachers, farmers, retirees and even clean-environment and anti-war groups. So, their concerns are valid.
So, as long as the candidate needs the money and these groups want to give money, we’ve got a problem.
My idea, then, is to eliminate the connection between the two.
Imagine a holding company, either federally controlled or ran, that receives all donations to all of the candidates. Each donation is then passed along, incrementally, to the candidate, with no indication of who is from. For accounting purposes the donor is given a receipt for the amount with, again, no indication as to whom it went.
In this way a group or person could donate as much as they would like but the candidate would not be beholden to them.
If the donors don’t give as much because they wouldn’t have influence that they would like, the candidates wouldn’t like it. On the other hand, the candidate wouldn’t be obligated to anyone except the voters and so they would be free to do business as they liked. Furthermore, any reduction of donations would be more or less equal across the board to all candidates.
To me, a reduction of money spent on campaign advertising would be just fine. Spending for Presidential and other high level campaigns is into the millions. Do we really need to see the same spot 10 times in a night to help us make a decision? Some European campaigns are limited by law to short time periods and amounts of money spent relative to ours and their elections work just fine. Laws limiting time or money spent on campaigns doesn’t seem like the American way to me, but our present system is obviously a breeding ground for corruption desperately in need of new ideas.
Please let me know if any flaws you see in this idea.