I have never been on a pill, but if you want to try going off of the pill, here is an alternative birth control you could use in the meantime– VCF (Vaginal Contraceptive Film). It is just a film that you fold up and put inside before an 'interlude.' (At least 15 minutes before, so that it has time to dissolve.) I have used it, as well as my Mom (who gets pregnant at the drop of a hat!) and the only time it didn't work for me was when I got impatient and didn't wait the full fifteen minutes (human error).
I would definitely try something other than the pill, though. For a month or two (my cousins use the pill, and all of them, when they went off, had to wait 1-2 months for it to completely leave their system).
Also, when it comes to interludes, I don't always want it either– but a few years ago my husband and I had a heart-to-heart, and I told him that when we are together, I don't always have to experience the final fireworks for me to enjoy being with him. In fact, always expecting/being expected to hit the fireworks was dimming the experiences because, lets face it, sometimes it's work or just plain doesn't happen. Once the pressure of performing was gone, and I was able to just enjoy an interlude for the sake of the interlude, things got better, and better, and better. There are still plenty of times I don't really want sex, but I enjoy the closeness it brings, so we have a quiet time. Then I feel close, he got his quality time, and both of us are happy.
God bless!
M. D