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I like these two pieces of advice best. People see through fabricated stories pretty quickly, especially when they are made up on the spot like that, and that just adds distance between you and them. For option 4 to work, you need to make it clear that you value family and closeness.
No matter what, you are certainly a little more out than you were before this incident. Best of luck to you that the fallout is not as bad as you fear. Take hope from the fact that it usually isn't so bad as people fear. There are countless stories here in these forums of people being pleasantly surprised at the acceptance they find.
Sonia