I was in a similar boat coming from undergrad.
Without Latin, no medieval program will take you seriously for a PhD. I applied to MA programs without Latin training and I actually was laughed at during one campus visit. You can go ahead and strike the ivies from this list unless you’ve got a good connection to faculty or very niche interest that will resonate with one of them. I suggest saving the money you would spend on app fees and looking into other options
What I suggest is looking into faculty at smaller, private, religious, or R2 schools with MA programs.
Find faculty who could be a potential advisor and can open the door for you at the end of an MA, and be sure to spend your time focusing on language relevant to your topic. Latin will always be relevant to medieval Europe.
Many smaller schools have great faculty with more time to spend with you. My advisor went to Fordham and I took classes with someone who is renowned in her area, plus went to Yale.
A guy from my program went to a PhD at Yale in 2017. One of my former classmates started a PhD at Chapel Hill this year.
If you’re not willing to go to an MA, it’s going to be tough but you can still work on Latin through some courses at your local college, community college, religious school, or maybe even a parish if you’ve got catholic and episcopal churches nearby.
There are also some intensives at schools in Toronto and institutes like the MARCO at UT Knoxville where you attend for a month or two for like 6-12 college credits worth of training (not for the faint of heart).