I like the word soulmate. Simple because it's romantic. Deep. Some NT's hate the word soulmate because they're afraid to be romantic, which means they're afraid to expose their feelings (yes, they have them) or afraid to be soft or to acknowledge their softer side openly. Sometimes, ironically, it takes more strength to be soft than to be hard.
Do I believe I have a soul? I don't know. I do believe in myself, so what comprises me?
Do I believe in the romantic concept of a soul? Absolutely.
Do I believe that my soul has a counterpart, a mate? Absolutely.
I believe in duality and sexuality. For this concept to have reality, it requires two complementary halves. Male / female. Active / passive. Hard / soft. Each side has a mate. We are not meant to live and love alone.
Even if I could never prove the existence of a "soul", this IDEA of a soul has reality to me. Therefore, the concept of a soulmate has reality to me.
"Create like a god, command like a king, work like a slave."
Kick me out of the NT club if you want but I see nothing wrong with the term soul mate.
Re OP: Wanting to catch yourself a NT is fine but don't limit yourself to the romantic idealism of heavens parting and birds chirping when you meet them. If you're too full on NTs can get scared off, kinda like hunting deer, move too quickly and they'll bolt.