speaker cable that would work under a rug

Parts Express still sells the Audtek braided speaker cable that is flat, and meant for exactly this purpose.

Nordost has flat cables - though the run under the carpet would need to be pretty much a straight line.

Caution, lower end Nordost cables are possibly somewhat lean in sonic signature.

I have been running my Triode Wire Labs American Speaker Cables under my rug for the right speaker for almost 4 years now. It is a shag rug so that helps hiding it.

Just last week I ran it around the back of the speakers instead and elevated both cables to find out if I could hear a difference. I need to do more B2B but my initial impression is that I cannot. 

a prior thread here

https://forum.audiogon.com/discussions/ribbon-cables-vs-standard?sort_order=asc

I like Pine Tree Audio, they made me a custom braided phono cable, good price.

https://sites.google.com/view/pine-tree-audio/speaker-cables/speaker-cables/rainbow-ribbon