Then you can round trip from there to Paris for $220-$300. Or you can make another nice stop in Lisboa on the way. RT from NY can be under $1000.
I liked Azores Airlines better than a lot of American airlines. And Punta Delgada is a nice stopover for a day or two.
If you want a cheap flight back from Paris to NYC, the evening flight on French Bee isn’t that bad for about $250.