Thing is, there's a store just down the road from my house that sells American furniture. It's called "North Carolina Furniture," I think--they might've changed their name since the last time I was there.
I've never thought of Bombay Company as a serious furniture store--more like an accessory place. Need an overpriced, ornate-looking bowl? That's your place. Need a new armchair? Ignore it.
I still think you can tell imports from American with one simple method: the import furniture is terrible. And there might be low-quality American furniture, but at least it looks good.
I read in the Wall Street Journal a few years about a good custom maker of big pieces who can take an order and ship to you in just a few weeks.
I don't know if the company is still in business, but at the time I believe that the WSJ reported that the company's business was booming.