You can use PICUS for the 250 hours PIC time as outlined in my above post. It says the pilot logging the PICUS time has to be flying in an approved PIC training program. When the FAA says "approved" it means something the FAA has checked and found to be OK. The Instructor PIC would fill in the PICUS pilot's logbook with the items trained and and a note that it was PIC training and then sign the log entry including their CFI or ATP number.