Go air france. forget about the 777s to paris - go concorde!
So if you don't want to spend that much money, i would go air france anyway, because AF is a Europian Airline and has much more style and prestiege than an American carrier. But if you really want to fly on an American Carrier - NYC is right, pick TWA. They've had a hard time lately and they are trying hard to win back customers - i think they derserve our support hear.
So my choice - well, AF first preference.
Second - TWA. IF twa is cheaper TWA then becomes first prefence.
You should be able to get onboard these two, but if you can't, go Lufthansa or British Airways via London or Frankfurt. But i sounds like you want direct to Challes De Gulle, so i think i would basically spin a coin and decided between AF or TWA