The first thing to do is to notch out the "honk" frequencies. Every mix engineer should know how to this. The EQ built into the ProChannel is a great tool for this.
I usually make my notches about -3dB.
From a
Sound On Sound article:
"The standard technique for identifying the offending frequency range is simply to set up a narrow-band EQ
boost and sweep it across the frequencies until you find the spot where the nasal 'honk' is most pronounced. You can then place an EQ
cut at this frequency, which is likely to be in the 800Hz to 1.5kHz range. Once you've found the right frequency, increase the Q to narrow the cut band until the honk just starts to come back, then reduce the Q slightly again so that you're making an EQ cut that's no wider than is really needed to get the job done. It's also a good idea not to use more cut depth than you actually need, as too much EQ is nearly always detrimental to the sound."
Next thing after that is to put a compressor on the track set to a 4:1 ratio, about 8-10 mS attack, 100mS release, set the threshold so that the overall gain reduction is about 3dB, set the makeup accordingly.
If you do both of those things and your vocal track still sounds harsh, then you can start with the fancier and more drastic efforts suggested above. Basic honk notching should be done for every vocal track, IMO, before any other processing. It really lets me crank a lead vocal up without it sounding obnoxious or stomping all over the other instruments.