Sorry for the SLIGHT necrobump, but I just got my Promptitude Solea! 1/7
After the first 6 kills (4 on PUP, last 3 on THF) I had a small hunch....IF you're able to interrupt all of Hazmat's attempts to cast Flare on you, then the chance of drop is much higher (kind of like Unstable Cluster for Soboro Sukehiro). Unfortunately, the 7th fight Hazmat got Flare off right away. But I then thought of getting Hazmat down to a sliver of health, Sneak Attack + Hide and let Hazmat de-aggro. It worked! Hazmat de-aggro'd, I ran around, jabbed him, and DROP! Screenshot below
http://i718.photobucket.com/albums/ww183/YeagerRamuh/PromptitudeSoleaDrop.jpg
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Linkshell: LordOfTheBeasts (Pet LS/Social) and Heroes (Endgame)
Server: Shiva
Jobs: 75 BST, 75 THF, 75 BLM, 75 SAM, 75 DRK, 75 PUP, 75 SMN, 72 SCH, 69 BRD, 67 PLD, 66 RNG, 66 WAR, 63 RDM, 61 BLU, 57 DRG, 56 NIN, 54 MNK, 45 WHM, 32 COR (Jobs updated as of 8-28-09)
Leathercraft/Clothcraft Mule "Andersoncooper"
90.1 Leathercraft (Tanner's Gloves and Tanner's Apron: O)
55.0 Clothcraft