Well I had to sign up to post a question and an idea:
Is it Bridgestone who mounts the tires on wheels supplied by the teams?
If so, couldn't the wheels be colored? Say RED sets and WHITE wheel sets. At each race the softer compounds would always be mounted by Bridgestone on the RED set, the harder compound on the WHITE.
It would eliminate the problem that Bridgestone faces where the painted soft tire for one race becomes the harder compound for the next race.
Of course if the teams are doing their own mounting then Manchild could supervise Ferrari!