Let’s see:
The Reach: as stated, “golden hands.” Notably smaller and thinner than your post-Targaryen dragons.
The Rock: agreed, definitely gold and definitely “lions.”
The Stormlands: I wouldn’t be surprised if the stag as a coin predated the Conquest, given the Durrandon’s once-mighty empire. Perhaps they were once minted in gold, but had to be downgraded to silver as the Durrandon empire waned?
The North: silver wolves sounds good; when in doubt, simplify.
Riverlands: a wild mix of coinage, suggesting the political instability of the realm. I like the idea of the pious Teagues introducing the Star, tho.
The Vale: silver falcons are too close to the sigil to be avoided, I think.
Dorne: Golden suns I think would be almost mandatory.
Iron Islands: “he decreed that gold and silver coin should in future have no value, and ordained that the people should use iron money only…which in weight was over a pound and a quarter, and in value not quite a penny.” And according to legend, dipped in vinigar to make the coins brittle and thus even less useful….