I do not recommend re-engineering your crossover, but rather repackaging it. You could get a tech to identify the components, their values, and their specifications. Then order better quality ones and put them in a box. This drives the different zones of the speakers. Add a factory refurbished Bryston 4B SST and you have a fine setup. Not quite as good as tri-amping with a low-distortion analogue electronic crossover, but very good. IMO.
I did this for a neighbour with his bookshelf speakers when he felt the itch, and the results were dramatic. You can also tune your system this way. Begin with film and foil caps, always film and foil; you already have metallized. Polypropylene makes a warmer but less precise sound than teflon or styrene, Teflon makes a precise but slightly harsh sound (I find Relcap and Solen teflons to be least harsh), and styrene quite neutral (MIT RTX is a good choice). Inductors should be made of ribbon with an air core (like Goertz), and resistors should be non-inductive wire wound such as Mills.
I like the sound of planar speakers, so I would not change. To my mind, there is no substitute. But your mind is what counts in your system, and YMMV.
I too hear an unpleasant glare from digital systems. With really high quality ones, it’s tolerable, but not for classical music (Classe’s processor was expensive and also legendary; the SSP 800 is available used for about 3K, but it can be buggy IME). But since I know little about the state of the digital art, other than I don’t expect to like it, my opinion isn’t worth much.
You might want to check out analogue crossovers. ARC used to make them, maybe you could find one of those (EC-4, I believe). Or Levinson.
Good Luck.