Hey, first of all, good luck! I hope you get into a program you like!
I have a BA in Political Science and I am going into an MFA in Photography. Granted I have a lot of field experience (I took about three years off between the end of undergrad and my applications) and a few group shows, but I felt the disadvantage of being from another field in last year's cycle. I only applied to two schools, Yale and SAIC, and got into SAIC with some funding (grant aid). I chose to defer a year and reapply.
If there is a series of paintings you are working on right now, I would recommend getting in an affordable residency that is not too selective between now and when you will apply. This will help you generate some work and make connections with people who might even be able to write letters for you. Some schools explicitly require recommendations from people actively working in the field, so your current professors may not be able to write for you. Otherwise, if you work hard, commit yourself in this direction and make good work, there is no reason you should not be accepted into a program.