I’ve always had my speakers high like that – higher actually - and personally I like the way it sounds. I’ve always found low speakers too easily localized and hence a distraction, especially when they’re as close to the seating as yours are.
By the way, since you have a carpeted floor it wouldn’t be hard to run the wiring along the wall tucked under the carpet between the tack strip and baseboard, and then jump inside the wall up to the speaker. You can find tips on in-wall wiring in my signature.
Regards,
Wayne A. Pflughaupt