Well... we can do Wings of Fury lvl 20 cap and go for Astrals.
http://wiki.ffxiclopedia.org/wiki/Wings_of_Fury
Or...
We can go for Petrifying Pair lvl 30 cap to try for Leaping Boots.
http://wiki.ffxiclopedia.org/wiki/Petrifying_Pair
Or...
We can do Under Observation lvl 40 cap to try for Utsusemi: ni and Peacock Charm.
http://wiki.ffxiclopedia.org/wiki/Under_Observation
Those are my suggestions. I've done Under Observation many times with the 3 blm strategy and it worked out fine. I have also done Petrifying Pair, but wiped all 3 times.
Let me know what you guys think!