Welcome To My New Year.
To remove ink stains from your clothes dryer, place 2 cups of bleach in a bucket, then fill the bucket halfway with water. Take some old towels and soak up the liquid in the bucket. You don`t want the towels to be dripping wet, just very damp.
Place them directly into the dryer to remove the ink and run an entire cycle. Repeat if necessary. When you feel you have removed the ink sufficiently, place an old dry towel in the dryer to make sure that you removed all of the ink.
Or you buy a new dryer. Yeah, that didn’t really work. Not sure if it’s worth a second try, or if I should use a Magic Eraser and/or nail polish remover next.