Here are some questions I thought of to help you figure this out:
Do you feel like you want to date him because you've gotten to know him and like what you know? Or is the attraction to him "just another BPD symptom"?
Think of what a healthy relationship would look like to you. What kind of relationship scenario would make you happy? What are you looking for? Does it seem like he can give you this happiness and are you both in the right place (in the emotional sense) to have such a relationship?
What's the best thing and worst thing that can happen if you date him?
What's the best thing and worst thing that can happen if you don't?
Hope this helps

Good luck, hope things work out to you both.