That's an interesting question, and I don't believe there's specific guidance. In which case, the Bishop and the Mission President hold the keys, so they should likely consult with each other.
If the child-of-record and convert don't know each other, perhaps a section of GHB 18.7.2 that talks about multiple children-of-record baptisms being held concurrently, might give an idea about one way to approach this: "Wards or families may meet separately for a portion of the service so that each child is recognized individually." This might be applicable to your situation, with a separate portion of the service to allow for specific and special recognition for each one making their covenant with the Lord.