Difficult to give you any recommendation since you have optimized quite a bit and because we don't know to which places you need to go.

But, here is one thought:

If you replace KBP with another city which can be reached from BUD and MAD, you can fly to Madrid instead of London so you can avoid LHR and you can take a direct flight to PTY from MAD. And then maybe PTY-DFW-BZE-DFW-ANC-DFW-JFK which gives you more miles than your itinerary.