Thunderroad

A few thoughts/recommendations:

1. Though Qatar is nothing to sneeze at, definitely try to fly Etihad F from JFK to Abu Dhabi (or vice versa) if it can work for your plans at all. You're just a bit short of what you'd need on American Airlines, since that requires 115,000 miles one-way. The JFK-AUH F "Apartments," as they're called, are really like very small rooms than simply seats. Plus good food and an on-board shower. There are loads of AA credit cards you can sign up for to get a quick initial spending bonus that would put you well over that 115K figure. You also can use Korean Air miles for Etihad.
2. Hope you're going to Kenya for some personal or business reasons, rather than for just a couple of days simply visiting Nairobi, since it's not the most appealing city for a quick visit. But if you are going, be aware that Korean Air is a SkyTeam member, meaning that you can go on from Kenya to various destinations on fellow ST member Kenya Air, assuming award availability.
3. Korean Air is also a good option for intra-Asia travel, including because it offers F on many of those regional flights.
4. Yet another pretty good feature about Korean Air is that its award availability is relatively good for its own flights, including for F travel.
5. My recommendation about Korean Air notwithstanding, be aware that it's a pain to deal with - worth it in terms of the redemptions you can can get, but much more of a process than most airlines.
6. As long as you're going around the world and passing through the Middle East and Kenya, you might want to check out exotic Indian Ocean destinations such as the Maldives (though its very expensive), the Seychelles or Mauritius.
7. You might want to let folks know where in the USA you're originating from, for a bit more specific advice.

Hope this helps. Happy trails!