HI K.,
It sounds more like she has an ear infection than swimmer's ear--which does require antibiotics. You'll want to see the doc to be sure, even though you said you wanted to avoid doing so. While I'm not a doctor, I do know quite a bit about swimmer's ear since I'm a swimmer and coach.
Swimmer's ear is inflammation in the external ear canal. It is usually caused by water irritating the skin inside the ear, which then becomes infected with a bacteria, or more rarely, a fungus. The ear pain from swimmer's ear is made worse by tugging on your child's outer ear.
Since she already has ear pain, do not put alcohol based ear drops. They will likely burn and make your daughter's ear feel even worse. For mild cases of swimmer's ear, you might ask your doc if you can first try a home-remedy solution of half strength white vinegar ear drops (half water/half white vinegar) twice a day. Continue giving her the Tylenol or Motrin (but not both at the same time!) for the pain.
To prevent swimmer's ear, create your own homemade swimmer's ear prevention solution by mixing equal parts of rubbing alcohol and white vinegar, and putting it in your daughter's ears after she swims.
I would advise against ear plugs because water does leak in and become trapped behind the plug.
I hope this helps!
-Kate