I wouldn't quibble with the meaning of "know" here because it is clearly has a sexual nuance here as it is in Genesis 4:1; the parallel story in Judges 19:22-25 is clearly referring to rape.
It really doesn't say that about the instance in Genesis 19. That's why I brought up the other scriptures that talk about the lack of hospitality. In our culture hospitality is a "weak" word to mean being nice to strangers. But in ancient times it had a far greater conotation. It was acknowledging the human-ness of another person. It was showing respect for their life. I will discuss the matter of the offering of their daughters in both Genesis 19 and Judges 19 in a different post, but for now it goes to show how seriously the ancients viewed the matter of hospitality. I do not justify this, and nowhere does God justify this in the Bible. It's history of something that happened, not justification. God nowhere commanded that this be done. So you cannot blame God for the actions of these men.
Again, the focus of Judges 19 is NOT condemnation of homosexual behavior. It was condemnation of abusing visitors. It has nothing to say about consentual homosexual relationships.
Also, note the similarity of the stories in Genesis and Judges. One was (allegedly) a desire for homosexual rape. But Judges 19 was a carried out heterosexual rape. Why take the Genesis account and say that it condemns homosexuality because of the mens desire to rape, and not condmen heterosexuality for the mens actual rape of a woman in Judges 19? If you condmen one, you have to condemn the other.
Iit seems obvious that neither Genesis 19 nor Judges 19 were written as tools for condemnation toward homosexuals. The major focus of these stories was the issue of hospitality.