Your post is technically curious; "under hardwood floors"? Or, do you mean under carpeting? If it's going under the hardwood flooring you don't need flat cable. I'm thinking that you wouldn't want to put the cable between the subfoor and wooden floor, unless there's some construction techniques that I'm unaware of. Unless it's some kind of Pergo floor where the cable could be with the foam underlay... Seems like making more work than benefit.
There are also faux moldings which can hide cabling along walls. An alternative option if you don't want to go through the floor.
If you still need flat cabling, Audioquest has some flat cables. Ultra Fidelis is an Audioquest dealer near me and would know: 414-221-0200
I'm not sure about the Magnan cabling for that purpose. I'm reviewing them right now. I would speak with Dave at Magnan first before attempting this. It's a very thin, wide cable but I suspect he may say it's not intended for use under carpeting etc. The reason I say this is the dialectic/jacket is quite different from the others mentioned and the thinness of the cable may be problematic if it's to take foot pressure on it. Magnan's number is:
805-484-9544