Greetings and Peace, all
Here is an argument in list form. ISA it may make for easier reading.
Acknowledge that AQ is not ridiculous.
Acknowledge that physical evidence is not ridiculous.
Refute that ALLAH created people with differences, as is stated in AQ 30:22.
Refute that ALLAH gave us signs in nature, as is stated in AQ 2:26 and 2:164.
Refute that ALLAH created homosexual animals, as are found in nature.
Refute that AQ 29:29 lists reasons aside from male homosexuality that the people of Lot might have been destroyed.
Refute that there is no compulsion in the Deen, as is stated in AQ 2:256.
Refute that homosexuality is depicted in cave paintings that physically exist that have been dated to be around 12,000 years old.
Refute that homosexuality existed at least 5,000 years ago among humans in Mesopotamia, as is found among physical existing evidence.
Refute that the people of Lot were destroyed around 1953 BCE.
Refute that circa 3000 BCE is before 1953 BCE.
Refute that over a thousand years span the time between the recorded homosexual acts in Mesopotamia and the time that the people of Lot were destroyed.
Refute that AQ 7:80 refers to lewdness "such as none of the worlds had done before."
Acknowledge that no person alive was present among the people of Lot.
Refute that AQ 17:36 states not to uphold what one has no knowledge of.
Acknowledge that physical evidence can comprise knowledge.
Acknowledge that knowledge is better than conjecture.4:24 And the independent from the women, except those maintained by your oaths; the book of GOD over you; and permitted for you is what is beyond this, if you are seeking with your money to be independent, not for illicit sex. As for those whom you have already had joy with, then you shall give them their dowries as an obligation. There is no sin upon you for what you agree on after the obligation. GOD is Knowledgeable, Wise.
Refute that a homosexual relationship is beyond this.7:81 "You are approaching the men out of desire instead of the women! Indeed, you are a transgressing people."
Refute that approaching people lustfully (men or women) is transgression.4:15 And those of your women who commit lewdness [l-fāḥishata], you shall bring four witnesses over them from among you; if they bear witness, then you shall restrict them in the homes until death terminates their lives, or GOD makes for them a way out.
Refute that even if l-fāḥishata means homosexual acts, no punishment is applied without four witnesses.
Acknowledge that the Qur'an is fully detailed and enough for a believer.
ALLAH knows best.