You're welcome. Whether or not you can make it without meds is mostly defined by your symptoms and you only have so much control over these. It also depends on how much these symtpoms interfere with your day-to-day ability to function, including holding a job, maintaining relationships, taking care of yourself and your home, etc. Some people may be able to manage their mental illness through excellent self-care habits and also strategies that don't involve meds. These strategies are often taught through therapy, which you say you have tried different types of without success. For instance, skills taught in Dialectical Behavior Therapy or DBT are known to be helpful for BPD.
So, unfortunately, given you have been hospitalized 3 times in 3 months and not been successful in past therapies, it may be the case for you that right now, the meds are your best ticket to keeping well. I know this is tough to hear as these no one wants to rely on meds and sometimes they have side effects, but this is where that acceptance model really plays in. There is actually a great emerging therapy called Acceptance and Commitment Therapy or ACT which teaches that sometimes it is most powerful to simply accept some things as they are and still commit to living a life that meets your goals and values and is worth living.
Also, I am aware of the lack of mental health resources which can make choice for psychiatrists and counselors limited. Please check your insurance's website for their "Find a Provider/Doctor" link. That link will connect you to psychiatrists, psychiatric nurse practioners, and mental health professionals that participate with your insurance within the vicintiy that you designate.
Also, here is a my favorite website for people to locate therapists, groups, spychiatrusts, etc. You can sort the listings by insurance as well as "issues" to narrrow down your list to people that best meet your needs. This site is open to those who advertise on it so it is not all encompassing for your insurance.
So don't give up! Continue to pursue modes of therapy like DBT and ACT and keep up with meds that have proven helpful in the past. Ideally, the addition of meds will help you really engage in your life leading to success and satisfaction.