Hi Spalding
I see what you are getting at, but, you edit a style to your personal preference, however my preference could be totally different to yours, therefore there is no way a style edited by someone else will ever match your expectations.

If you just want to make it sound like the original, buy the original.

While Korg has the most extensive sound editing features on any closed keyboard, it is still primitive compared to most VSTi, and therefore you will be able to do everything you already do, and much, much more.

EG:
A good VSTi package is Komplete 6 http://www.native-instruments.com/#/en/products/producer/komplete-6/ which comes with the Battery 3 Drum sampler http://www.native-instruments.com/#/en/products/producer/battery-3/ (Also available stand-alone) which has 12 GB of drum samples and over 100 drum kits, therefore I can assure you that you will find one to match the mapping of your Korg. (And if you want to edit the sky is the limit)

In a nutshell, an open keyboard and VSTi will allow you to make a converted style better than the original, (To your preference) but it will not allow others to make the style sound better than the original to you, as your preferences are not transferable.

This is why I always say, unless you are prepared to put the work in, stick to a closed keyboard.

In your case IMO an open keyboard would be a dream, as you could really achieve your exacting standards, way beyond what your Korg offers. (Assuming you have time available of course)

Hope this helps

Bill