I am afraid I don't have any good suggestions for this. The best suggestion I have is to divide into 2 groups based on ability A1 to A6, and B1 to B6 then you could play:
[(A5 B2):(A4 B1)] [(A6 B6):(A1 B5)]
[(A3 B2):(A1 B4)] [(A5 B3):(A2 B5)]
[(A6 B1):(A2 B4)] [(A4 B6):(A3 B3)]
[(A5 B5):(A3 B4)] [(A2 B3):(A1 B2)]
[(A3 B1):(A6 B3)] [(A2 B6):(A4 B4)]
[(A5 B1):(A1 B3)] [(A4 B2):(A6 B5)]
[(A6 B2):(A5 B6)] [(A4 B5):(A1 B1)]
[(A2 B2):(A3 B5)] [(A5 B4):(A1 B6)]
[(A4 B3):(A6 B4)] [(A2 B1):(A3 B6)]
Which gives you 9 rounds where all partnerships are low/high ability pairs.
