3120 sounds like nautical ground miles, not air miles, we routinely experience 150 kt headwinds on that route during winter, especially crossing Saudi Arabia and Eqypt, so if you are looking for an all-year-round flight, you have to define your payload.
GIV wont do it, GIV-SP depending on payload, G5........ well you just went from a $10m aircraft to $30m....... Once you get into that sort of money, you might as well look at the 737-300 and 500's that are on the market.
Mutt