Tim,
If you want Class D to sound good to you bad enough, maybe try building your system around a Class D amp of choice.
That would give you a better chance than plugging one into what you have currently and like and expecting that it will sound the same or better.
I went Class D because it fit the bill perfectly for what I needed in my rig at the time, especially the big full range power hungry OHMs that mainly benefit from the juice. So I too have a basis to compare.
The amps sound great to me on the Dynaudio monitors as well (hard to fault in any way for their size), but for those alone there are many amps that can fit the bill.
Most speakers I have heard that use ribbon tweeters would probably benefit from an A/B amp like the McCormack or similar than most Class D amps I suspect.
My expectation is most Class A/B amps in this discussion will tend to have a hotter top end than CLass D, at least Icepower. That is one difference I notice between the two.
Of course, different people hear the top end differently and that also changes with age which can also be a factor in what kind of amp sounds best.
You are making a mistake by dissing all Class D amps categorically though just because you like the sound of others in your system.
As has been pointed out, all amps are different and will have different perceived strengths and weaknesses.
My ears tell me Class D amps can be in the same league as their older brethren already these days but YMMV.