The brown wrap around an injured runner’s knee is an example of an ace bandage.
He was back almost immediately, carrying an ace bandage.
First Aid Kit - This doesn't have to be too extensive - some bandaids, an ace bandage in case of sprains, perhaps some ibuprofen (make sure to check with the school's medication policy).
The Solution: Consider trying an ACE bandage around the chest after treating each nipple with an anti-chafing cream or simple thick moisturizer.
This compression tee can be paired with the ACE bandage solution mentioned above.
If they simply direct you to discover the best options online, then you can consider a custom-made garment, compression tee, or an ACE bandage remedy.