Any time dwarven stability would apply
If I recall, and I don't have my books with me to check, dwarves get a stability bonus when standing "on the ground." I remember comparing the text from the PHB for stability and the text from the Bo9s for stone dragon manuevers, and the were similar...
Thus it seems fair to assume that anytime you would permit a dwarf to get their stability bonus, you should permit stone dragon manuevers. This seem particularly apt since the school of stone dragon manuevers are extraordinary abilities (rather that sup or spell-like) and seem to have a thematic similarity and conection to dwarven tactics.
Arabesu.