I recommend flying to a destination you wish to visit on an airline you think you'll enjoy flying! Off the above suggestion, you could do AUS-HKG (cathay), HKG-EU (cathay), EU-USA (Iberia) and USA-AUS (AA) or (via HKG, Cathay), (via Tokyo, JAL)... the process will be a lot easier if you post an itinerary. Members can then provide suggestions to help.
Ive not flown business before let alone with BA, but you now have me worried regarding my CDG-LHR-IAH booking with BA that I added to my award trip this morning. Try as might, I couldn't see any viable trips flying AA unless I wanted to increase my journey time by 50%. You mentioned flying economy to Madrid from Paris and thence to the USA. I looked at departing from Barcelona but it still routed me via LHR. ( by the way , I am getting to EU in the manner you have described). In the same vein, getting home ADL seems to be only to be by flying Qatar via Doha - a big trip. Again, I could not see any other way to get from IAH to ADL other than thus route . ( I'm going to book that next week). Appreciate any tips you might have on any alternate trips flying business 280k
PS I thought you had to go in the one direction ie in your example you are going to HKG, I didn't think you could go to the same place twice?