Managing fever without suppressing it outright is usually all that needs to be done to support a measles infection in a healthy child.
The link below has a couple of references on the concept of viral shedding post live vaccine.

http://legislature.vermont.gov/assets/Documents/2016/WorkGroups/House%20Health%20Care/Bills/H.98/Witness%20Testimony/H.98~Jennifer%20Stella~Additional%20testimony,%20Jennifer%20Stella~5-6-2015.pdf