I saw this on pinterest and figured I was out NOTHING to try, and oh my word it WORKS! I held the blow dryer over the stain for about 10-15 minutes and it disappeared!
Before: half moon stain on right side
After: half moon stain GONE!
Before
After
I'm confident I can get ALL the stains out, I just need to be more patient as the larger ones take more than 15 minutes to disappear. It's also a big different looking at a picture since the light glares a bit and makes it look like more of a white spot than it actually is.