Well, i've also been recently inspired to create a new hellknight order and I'd love honest feedback.
The Name: Order of the Star
Mission/goals: To snuf out chaos as it begins, specifically by acting as shocktroops that deploy rapidly (using magic or otherwise) into areas that are about to see revolt or invasion. They will engage as THEY see the need, as is thier Order's manifest right, but if hired even better. They also may not leave until they feel that the true cause of the chaos has been rooted out and removed, even to the detrement of those that hired them.
The Story: I'll be laying out the creation of this order as a background story in the campaign I am writing. The Order will have a strong alchemical tradition and should lend well to "newfangled nonsense" within the more tradional orders or even toward a more Steampunk adaptation. Members of this order are known to smell often of sulphorous or alkanine aromas.
The Lictor: I'll add more as I grow this character, but he was a victim of the Goblinblood wars in Isgar before adventuring. Saved by the Hellknights of the Pike, he is dispositioned toward the Orders and even falls in with the Order of the Nail while adventuring. Unhappy with the way Hellknights are viewed at large, and wishing to prevent the chaos of his youth, he eventually 'sells' the idea of The Star to the powers that be as both a force for decisive action within the law as well as a way to gain power for the various orders by improving the public image.