I've found that I'm really interested in some research in the philosophy of mathematics and physics that's currently happening at various institutions. However, I don't have much experience in philosophy. I've read some programs have integrated M.A.'s with their PhD's. One such example is UCSB, which also happens to have a faculty member publishing in an area of interest. I've also heard that some programs will allow you to take undergraduate courses if your advisor deems it helpful.
I have pretty good grades (3.7) and a very strong GRE. I have a double major in mathematics and physics, but basically no coursework in philosophy. I also have two years of research experience in quantum field theory (some of the philosophy I would like to work on). I also have coursework in logic. Do I have any chance of getting into a program anywhere? What are some things I should study to be more prepared? Do graduate programs care about "self-taught" philosophy? I can take the time between now and the next round to work on research and make a strong writing sample I suppose.
Also, I wouldn't be able to get any real recommendations from a philosophy professor, since I only took an intro philosophy class as an undergrad.
Is there any hope for me? I wouldn't really consider doing an unpaid masters program at this point, if I go to graduate school I would need a stipend.