Idea for keeping DoH classes relevant.

Make the raid drop unsellable tokens of some sort, varying in quantity compared to difficulty and associated with that raid. Have NPC in major hub exchange said tokens for unsellable crafting materials with token prices varying again based on difficulty of raid. Adding bonuses to clear time and whether or not you killed everything on your path to the end wouldn't hurt. Also a boost in exp so we can actually use them for leveling wouldn't hurt either but keeping FATE grinding on equal ground in terms of exp. Make all raid drops meld-able. Maybe make hard mode raids that drop HQ tokens that one can buy HQ versions of the mats so that DoH classes can HQ it easier.

Continued below...

Introduce a system where a Disciple of Hand can que for an instance just like any Disciple of War or Magic. Have the DoH and anybody needing something spawn in a small instanced room. Use a system similar to this for crafting: http://eorzeareborn.com/materia-consignment/
Have the DoH set the price before entering but also give them the option of doing it for free if they choose.

Now how about those DoH classes that want shiny battle gear compared to raid gear but without the raid? Introduce a separate system from leves where DoH classes can acquire same gear but instead of doing raids they turn in crafted items for same tokens that are dropped in raids. Maybe offer more tokens for HQ items?
Introducing these systems also gives people who decide to level both DoH and DoW/M a slight boost. Incentive to at least dabble, if not level completely, in both aspects of the game.

Here you have different paths leading to the same endgame shiny loot. Everybody wins?