A game without damage rolls is a good idea...
Let's see. We could give a damage value to attacks and add dragon die and stunts to it.
Dagger - dmg 4 + Str
Longsword - dmg 6 + Str
2-hand sword - dmg 9 + Str
Shortbow - dmg 4 + Per
Longbow - dmg 6 + Per... did you get how the numbers were calculated? Just assume every die is a 3. Ok, let's move on.
Let's see an example from my table... oh, here it is. My player's 2nd level two-weapon stylist warrior with Str 3 uses longswords.
He rolls 3d6+5 to attack and deals 2d6+3 dmg.
By this HR, he rolls 3d6+5 and deals 6 + dragon die damage.
Let's say he rolls 3, 6, (4) and hits... that's 10 damage. (The dragon die is the 4, dudes)
Oh, the stunts would add +4 (mighty blow) or +10 (lethal blow) to damage, if you don't wanna roll it. Why? Twice the base stunt cost. Or you could treat it as damage dice and add +3 and +6 but I prefer to trat stunts as more valuable.
The master level of the Two Hander Style talent has to be revised, since you are not rolling the damage again. I suggest that it transforms the base damage per die to 4 instead of 3.
So, a 2-hand sword would deal 12 + Str damage for a master Two Hander Stylist.
Just some thoughts.
EDIT:
I almost forgot, of course you can do this to magic too. It's like the Arcane Blast spell, that deals 2d6 + dragon die damage already, except that the die are always "3"

So, a mage would deal 6 + dragon die damage with this spell.
Oh, you like big bad mages? Just rule that spells deal 4 base damage per die, instead of 3... so, the Flame blast spell would have (2d6+1) a 9 point base damage.