What BelArgUSA said is intersting but in my honest opinion illegal, and I'm speaking as an American citizen myself. Don't you think that US customs will flag the fact that you keep living in and out of the US on a tourist visa? I-94 does certainly NOT allow you to work legally in the United States. Also I don't see how someone with a tourist visa would be allowed to buy a car, let alone a house (unless you intead to buy everything in cash...).
If I understand correctly what you are looking for, you want to work for a non US carrier, but operate from one of their bases in the United States. Since that base would correspond to your homebase, you would be living (even on your "off time") and working within the US. I'm sure airlines could help you obtain the proper visas, but if you intend to work there for a long time, I don't think you'll be able to avoid the infamous Green card.
I hope this helps