"However, if any professor out there wants to let me come in and just do a PhD in analytic philosophy - just write the thesis and defend it - then I have, for my own use, worked out a general and mathematically elegant theory of Newcomblike decision problems. I think it would make a fine PhD thesis, and it is ready to be written - if anyone has the power to let me do things the old-fashioned way."

I think this is a good idea for you. But don't be surprised if finding the right one takes more work than an occasional bleg. And I do recommend getting it at Harvard or the equivalent. And if I'm not mistaken, you may still have to do a bachelors and masters?