Mark Up only for UPS Next Day Air Early A.M.

Is there anyway to apply markup only for UPS Next Day Air Early A.M.?

Let's say we have UPS Published Rate in the ShipRush Rate files. However, we want to show the rate with 20% markup on the Published rate if we ship UPS Next Day Air Early A.M. We want to keep the Published Rate if we ship regular UPS Next Day Air.

If my understanding is correct, UPS Next Day Air and UPS Next Day Air Early A.M. share the same rate file. Therefore, the above situation is difficult for me to handle.

Is there anyway to handle the situation?

Thank you!