I have doubts about whether DSP would be grainy and awful...
CHEAP dsp is grainy and awful.
The average consumer receiver. Budget amps with built-in dsp. (Especially the smaller budget powered speakers aimed at DJs.) Pretty much anything sold in Worst Purchase - the grifter stuff.
Pro quality dsp will outperform everything but the highest end analog - which it will usually match!
Just understand how the gear works and what you're doing. Don't end up with some Rube Goldberg mess of extra AD and DA conversions and/or dsp moves in one piece of gear battling some setting you weren't even aware of in another and that kind of thing.
For any passive speaker in question:
It will have a passive analog crossover. If you wanted to have a shootout between that and an active crossover and bi-amping, you'd have to modify the speaker with direct connections to the drivers. Then build your system with an active analog crossover fed from your DAC output. Which then connects to two amps and then to the two drivers (a 2-way speaker example). Or... A digital crossover. This would then need to connect to two sets of DAC outputs. Then to amps and to speakers.
If you had powered 2-way speakers, they likely have an active crossover before the amps. To have a shootout with different crossover and amps you'd have to mod them to make two inputs, one directly to each amp.
Think of some of these products as "combo" devices. Like a receiver is: HDMI audio interface, DA converters, analog preamp, power amps. Powered speakers are: Passive speaker (with passive crossovers) with power amp built in. Bi-amp'd powered speakers are usually: passive speakers with active crossover and two amps built into the box.
Take inventory carefully and don't buy two of something inadvertently!
The Rube Goldberg stuff that ends up with multiple back and forth AD/DA conversions and/or improper levels/ranges with analog connections throws the intended performance and spec out the window! We're into generational loss and edge case madness with that.