... achieve them with another PPL holder who is current, though without a formal flight record in your logbook it ...
Your PPL mate books the aircraft out and in (airfield is in the paper trail).
He logs the flight as PIC, but minus the TOLs you did, (his logbook is in the paper trail).
You log the TOLs you did, (your logbook is in the paper trail).
If all the entries are true, what's the problem?