From that very link you can find info on the recent litigation accusing the government of an errant missile hit. There is enough evidence to bring forth the suit whether you agree it is a conspiracy or not.
re: evidence, I'm just quoting what the article says:
The wrongful death suit claims that Freedom of Information Act (FOIA) evidence has "emerged proving that TWA 800’s explosion was not caused by any defect in the airplane, but instead by an errant United States missile fired at aerial target drones flying nearby."
I am curious to see how this turns out and how it is refuted.
Civil suits are incredibly easy to push through (which is why there are various civil suits from assassinations and murders, even if the underlaying accused person/entity was found innocent), it doesn't mean it happened.