Update: I've played around with the oneworld booking tool. it didn't like using QR as initial flight. However, it was pretty easy to change to CPT-LHR and I have a price of $US5771,56. I see in the oneworld how-tos that you have to contact Qatar directly to book if they are the initial carrier. Would this likely result in significant savings? I'm pretty happy with the price now, but wouldn't mind saving. I also hear QR is a "5 star" airline and I wanted to spend some time flying it.
Has anyone booked directly with QR? Is it truly a superior experience?
And, most importantly, if I proceed to booking, will I be able to purchase this fare? If I leave it for,say, 24 hours, will it time out?

CPT-LHR-BUD-LHR-LAX-DFW-ANC-DFW-SJU-JFK-HKG-CMB-NRT-CGK-HKG-DOH-CPT