There will be some FFB’s who will be open to meeting you, and some who won’t. A lot depends on how open minded the person and her family are.
It’s always wise to open yourself up to more opportunities. You might also find that you can relate better to a BT or a giyoret. It sounds like you considered yourself Jewish your whole life and only recently found out you were technically not considered Jewish (so you may have more in common with a BT).
Do you have a connection with any rabbis?
I think you should ask someone who knows you well whether they think you are ready to date.
People might feel more secure with the idea of meeting you if they know that you went through a traditional yeshiva, even part time evening learning.
If you are newly frum, it might be wiser to spend some time (full time, if you could) in a yeshiva (aish hatorah, ohr sameach). Even a year would be wonderful. I think there’s an ohr sameach in monsey, so, you could learn by day, and take some credits towards nursing at night.