Ive got me the Digital Nasties

This is your cheapest option. There is no reason why you should have to own a harsh cd player. Simply sell yours here, then buy one that isn't harsh.

Cleaning up AC power definitely helped my problems in that regard. The JPS Digital AC cord is one popluar remedy here on the 'Gon, in the filtered AC cord area. An AC power input balancing transformer or other line conditioning has reportedly been successfully implemented (although I did not require them - just the filtered cord).
RF stoppers on the output interconnects may be a useful troubleshooting tool, but should not be left installed permanently (they excessively round off the HF's & transients). Ferrite filtering ring &/or Highwire Powerwrap on the AC cord may do well for you however.
I also realized improvement with Nordost Pulsar Points placed in between the CDP's baseplate & whatever type of shelf that you're using (if any). In my case that would be a Zoethecus Z-Slab, (Mapleshade or Black Diamond are some other popular shelf options). But you'll need to experiment in order to to determine what works best with your own unique combination of player, cabling, & equipment rack in any case.

Darryl --

What is your set-up, how long have you had it, and
what sort of digital nasties are you experiencing?

A few weeks ago, I added Krell FPB 350 MCX monos
to my system and started experiencing some harsh-ness in the high end.

I've done a few things and it has largely disappeared.

I ran my Krells non-stop for a few days, started leaving
them on all the time, never turning them off. I bought
them used so I thought they were broken in, but they
are still improving.

My speakers have two upper and two lower binding
posts. I was plugging my speaker cables into the
top posts, but I switched to the bottoms.

I towed my speakers in a few inches.

I added a Blue Circle Noise Hound to the circuit
to which my CD player and pre-amp are connected.

Not sure which of these caused the most improvement, but the harshness is gone and the system is sounding great.

Hifirush, hope you're not using the Blu-Tack anywhere near heat. Mine turned to blue goo, still trying to get rid of it.