Funny you say that—the more I read (& study Prophecy) the more the PreTrib Rapture makes sense.
Lot was bailed out before Sodom & Gomorrah were destroyed.
Noah & his 7 family members were saved before the Lord destroyed the world via flood.
And Christ’s Church will be removed before His final seven year judgement on a rebellious and satanic world.
Why would you make the case for Lot & Noah to be any different than the Church?
Noah and Lot were saved from the wrath of God. The trials of the first part of the tribulation are the wrath of man. God has often allowed His people to suffer horrific persecution from evil rulers; we see that even today. It is a fallen and cursed world.
When God begins to pour out His wrath, then His followers will be spared. Whether that is by a rapture or divine protection on earth, I don’t know.