Need cable advice tome reduces mids

I have a new (used) SS amp/preamp, fully balanced. This combo produces too much midrange energy for my tastes. I like everything else about it, it has very good soundstage, imaging, dynamics, bass is solid and highs are smooth and clear. It’s just that the mids are too irritating for me.

I’m using Canare Star Quad XLR interconnects from the DAC to Pre and again from Pre to Amp. Are there any interconnects that diminish the midrange without doing harm to any other areas of the sound? Or would speaker cables make a bigger difference?

I already switched my speaker cables from Furez (FZ144AS) 14ga 4 connector copper cables to the only other cables I had in the house: Supra Classic 4.0 tinned copper. It helped a little bit, made the whole presentation a touch clearer and more balanced.

I thought about getting the new Schiit EQ as a last resort, but I don’t want to open a different can of worms. I’m hoping cables might get me there.

I guess I’ve always been a cheapskate when it comes to cables, usually using plain copper stuff and doing my own terminations. But I know there are a lot of you with way more cable experience than I have and could steer me in the right direction. Don’ t want to spend more than $500.