Citi AA Executive Card ($ 450 or so) = free Admirals Club passes - AND -
10K EQM when you spend money of about $ 40K per year.
Elite Qualifying Miles would be... So each way you would earn
10K EQM + 20K EQM Bonus = 30K EQM (60K for the round trip)
And
10k EQM isn't a ton for giving up all that in my opinion.