If you cannot find a technician to switch out the built in loading resistor (assuming this IS the issue), and you are against using an external SUT feeding the MM input, you will be in the still troublesome spot of finding a cartridge that works. Do you have a dealer that is willing to allow you to audition cartridges or allow you to bring in your integrated amplifier to see if sounds okay with particular cartridges the dealer has to offer?
I would hate to hazard a guess as to which cartridges might be compatible, not only with your integrated, but with the rest of your system and your particular taste. The 100 ohm fixed load suggests a cartridge with a low impedance of the coils in the cartridge itself-at most an impedance of 10 ohms, and much lower would be better still.