The childfree subreddit has a list of resources, so look there for a CF-friendly doctor that others have had luck with.
I prepared a binder of research: pros and cons of different methods and my conclusions, studies on regret (lowest among women who have never had children), and arguments about bodily autonomy and reproductive freedom. I was firm in stating that I wanted a solution which would be effective even if my relationship ended or if I was raped, therefore it was unacceptable to push for a vasectomy instead. I explained that I did not want the burden of having to regularly renew my contraceptives or the pain of longer-term solutions such as IUDs. What I did not do was talk about how much I hate the idea of reproducing because I didn't want to be dismissed as "emotional." I did not offer the sop of adoption but simply re-iterated that I had done my research (which showed lowest regret for people like me) and had put more thought into my reproductive decisions than most.
Of course I was older than you and this no doubt helped significantly.
The fact is that you're dealing with biases and it can be very hard to make people recognize their bias and acknowledge it as such rather than universal truth.
Hillis, Marchbanks, Tylor and Peterson (1999). Poststerilization Regret: Findings from the United States Collaborative Review of Sterilization,
Obstetrics & Gynecology 93(6).
Their conclusion is "Although most women expressed no regret after tubal sterilization, women 30 years of age and younger at the time of sterilization had an increased probability of expressing regret during follow-up interviews within 14 years after the procedure." but this is just one way of interpreting the data. The more interesting conclusion is: "For women aged 30 or younger at sterilization, the cumulative probability of regret decreased as time since the birth of the youngest child increased (2–3 years, 16.2%, 95% CI 11.4, 21.0; 4 –7 years, 11.3%, 95% CI 7.8, 14.8; 8 or more years, 8.3%, 95% CI 5.1, 11.4) and
was lowest among women who had no previous births (6.3%, 95% CI 3.1, 9.4)." (my emphasis)
How many optional medical procedures have a regret rate of 6.3%? Certainly not IVF. With any luck you will find a doctor who is willing to reconsider if her/his bias is exposed. It can't be pleasant to identify as pro-choice and realize that you don't actually support reproductive freedom but only "now or later" as options for women. Mind you, most people are happy to be hypocrites so all I can do is wish you luck.
Side note, doctors tend to hear from unhappy patients but follow-up with happy patients is rare. Therefore I would encourage any CF person who got sterilized to send a note to the doctor after 1, 5, 10, etc years to express thanks and absolute non-regret. We need to be more vocal about our experiences to help change the conventional wisdom about regret which is keeping others from accessing sterilization.