Since Qur'an alone Muslims are extremely few and scattered over the world, it's unlikely that a Quran alone woman or man will find a another Quran alone believer to fall in love with. Not saying it's impossible but it's not likely.
Salaam Sarah,
Yes, I agree this is not easy. But my suggestion is don't limit yourself with "Quran alone muslims". I believe the word muslim is not necessary Quran alone only.
22:78 And strive for God a genuine striving. He is the One who has chosen you, and He has made no hardship for you in the system- the creed of your father Abraham. He is the One who named you 'those who have submitted' <muslim> from before and in this; so let the messenger be witness over you and you be witness over the people. So uphold salat and contribute towards purification and hold tight to God, He is your patron. What an excellent Patron, and what an excellent Supporter.3:113 They are not all the same, from the people of the Book are a ummat that is upright; they recite the revelations of God during the night hours and they prostrate.
3:114 They believe in God and the Last Day, and they advocate for good and prohibit vice, and they hasten in goodness; these are of the good doers.The things that mentioned in 3:113, also mentioned in 2:62,
2:62 Surely those who believe; and those who are Jewish, and the Nazarenes, and the Sabians, whoever of them believes in God and the Last Day and does good works; they will have their recompense with their Lord, and there is no fear upon them, nor will they grieve.So you can try to find the man who match these criteria,
- Believes in God (One God)
- Believes in Last day
- Do good works
regardless of their religion label, because they may also be Muslims, without them knowing it.
And lastly,
2:45 And seek help through patience and through salat. It is a difficult thing, but not so for the humble.Salat : <commitment> Do what you have to do according to Quran, including to find the man that match those criteria no matter how hard it is, and then be patience. Put all thoughts about unhappy marriage/divorce aside, it hasn't happened yet, and it doesn't necessarily happen.
May God will help you.
Peace