I went to Claires to see if I could find a solution. The sales girl showed my some tiny plastic sleeves that go over the post on the earring. I bought some and tried them. My holes were tiny and the plastic sleeve makes the post bigger, so it was hard putting the earrings in the first few times. But, I can wear earrings with no swelling and no pain.
The little plastic sleeves are ridiculously expensive-$6:50 for four pair, but it is totally worth it to make my beautiful earrings wearable again. I looked on Amazon.com but they don't have a similar product. So I will keep buying them at Claires.
I think it is interesting that I looked on the internet to see what other people with metal allergies did and I found no reference to the plastic sleeves.