what cable should I buy for my system?

I would go with Cardas at the price level of about 10% of your average component costs. Sounds like you want to be careful not to get cables that are too “hot” of it’s honing to get fatiguing. Cardas will add refinement. Alternatively, try DHLabs at your price level. I use Transparent, but have very refined equipment which I want no change to the component sound… so Transparent are it for me.

It is always advantageous to compare about three brands and see which is most complementary. The cable company  has a lending library or you can borrow through dealers or purchase. I have a few sets acquired over the decades allowing me to compare for their house sound… then if one is good… I’ll buy new upgraded versions. I also lend them out.

Are you talking about speaker cables?  What cables are you using now?  What is “an unfavorable wind”?  What does “lacks sophistication” mean?  What is “space mapping”?  How can you not have a basic budget range in mind?  Not enough viable info here to make a good recommendation, at least for me. 

I suspect some language barrier here based on context I suspect space mapping refers to soundstaging. An unfavorable wind possibly brightness. I would think a good tubed preamp between the Esoteric and those Michi monos would help things tremendously more so than cables.

I agree with @jond Try a good preamp. Source to amp is typically forward and doesn’t excel in layering and soundstage. 

There are Cable Suppliers that that offer a no obligation to purchase home trial for 30 Days. Using such a Cable Suppliers offer, will enable the individual to expand on their experiences.

When expansive experiences are able to be had on the Home Audio System, or an Audi System that is very familiar to oneself,  the benefits of the learning to be attained are much more that when being sought on a unfamiliar system.

Talking about and trying to decipher descriptions offered by others is no substitute for a Direct - Sat in Front Of Experience.

As for a Wire Type used for the Cables Signal Path. PC Triple C or D.U.C.C Wire Types are ones I recommend today.