Ralph,
Are you using tubes on the input....or is it discrete solid state or integrated circuits? Have you tried all kinds (types like toroid or enclosed, wire wound or foil...better wire quality, directionality of the wire, cryoing the coils, whether you run the signal into inner or outer winding on an air core, etc.) of different iron core and air core coils on the output? Everything makes a difference.
Are you using tubes on the input....or is it discrete solid state or integrated circuits? Have you tried all kinds (types like toroid or enclosed, wire wound or foil...better wire quality, directionality of the wire, cryoing the coils, whether you run the signal into inner or outer winding on an air core, etc.) of different iron core and air core coils on the output? Everything makes a difference.