Joe,
        good to read this! 
       
      Regarding
        the loading coil, I would agree with Stefan that a large
        multiturn air coil is the best option. A laminated iron core
        would suffer from excessive eddy current losses, and the effect
        of ferrites is limited by saturation and hysteresis losses.
       
      My
        1.3 henry coil consumed 2.3 km of 0.4 mm enameled wire, using 7
        buckets with 480 turns on each:
        df6nm.bplaced.net/VLF/VLF_110304-06/coil_legospacers.jpg.
        The advantage is that due to magnetic coupling between layers,
        you will need less wire for a given inductance. And the
        inductance is adjustable across a wide range, using spacers.
        Disadvantages are the high electric field between layers
        limiting voltage capability, and less effective heat removal
        from the inner buckets. Stuffing the buckets too tightly into
        one another is surely not a good idea:
        df6nm.bplaced.net/VLF/pictures/arced_coil_140601.jpg