Toeing out sounds fine. Not to harp on this, but simple attenuation is the right solution. Looking at the crossover, a resistor change looks extremely easy to do cause it appears accessible from the base and detachable with screws.
https://static1.squarespace.com/static/55f2f41ee4b0ef7e0849e07a/t/56217563e4b0fd57269f160f/154372792...
The tweeter section is at the top and you’d want to try higher values for the series resistor (before the coil!) to the tweeter’s positive input. Mills MRA is very cheap. You could also even just use alligator clips to parallel on incremental values to the existing resistor to determine the best overall padding. http://www.sengpielaudio.com/calculator-Lpad.htm
https://static1.squarespace.com/static/55f2f41ee4b0ef7e0849e07a/t/56217563e4b0fd57269f160f/154372792...
The tweeter section is at the top and you’d want to try higher values for the series resistor (before the coil!) to the tweeter’s positive input. Mills MRA is very cheap. You could also even just use alligator clips to parallel on incremental values to the existing resistor to determine the best overall padding. http://www.sengpielaudio.com/calculator-Lpad.htm