For TP, DA/TA is generally better than str, since in abyssea you probably overcap fstr from cruor buffs.
For WSs, most of the DA pieces that I can think of beat str+ gear in that same slot, except Twilight Belt.
As for haste, capping it is more important, I cant think of any piece where you would sacrifice haste for DA except Twilight Belt, in which there has already been a debate on how much that sux for MNK.