Ezekial 16:46-50
As I live, says the Lord God, your sister Sodom and her daughters have not done as you and your daughters have done. This was the guilt of your sister Sodom; She and her daughters had pride, excess of food and prosperous ease, but did not aid the poor and needy. They were haughty and did abominable things before me; therefore I removed them when I saw it.
I will admit you can argue what it means by "abominable things", but I believe Sodom and Gomorrah were destroyed for a plethora of sin including inhospitality and sexual perversion of many kinds among others.
COUNTER: If that's the case, then God would have destroyed A LOT of cities worldwide during that time without any specific reason (Genesis 19:25). S&G were destroyed for their lack of hospitality and their greed and some forms of sexual immorality...not just general disobedience. There should be reasons for the destruction more specific to both cities, not just evidence "of"...rather, the specific sins become evidence "for"...and I contend homosexuality is not one of them.
I think one of the problems is that there were not in the whole city of Sodom 10 Godly people, there weren't even 5, but 4, Lot his wife and his two sons.