"whips of flame and claws of steel"
"shooting darts of fire and flaming arrows like small snakes"
"brazen-handed with flails of flame and forged iron"
"Gothmog hewed him with his black axe"
So we have Whips, claws, possibly Bows and other thrown missiles (darts - or javelins could be intended), Flails, Swords and Axes.
If we have only seven Balrogath as late Tolkien suggested we could give each Balrog an individualised Weapon, so we can tell them apart by their weapon of choice (like in the Ninja Turtles)
fire-whips actually DO exist and look amazing:
As for Swords and Axes I#m not sure. I guess a balrog sword could either be an Arming sword or a curved sword, or we can give one Balrog a straight-bladed weapon and another one a curved blade. I suppose we give one a number of Javelins or throwing Darts...
Throwing darts could also oook like ninja-throwing-pikes:
if we think of thrown javelins we could think of weapons similar to the roman Pila
or heavier pilum:
flails could look like german war-Flails:
or maybe a "Kettenmorgenstern"
what i DO find more interesting are the claws of Steel...
such Claws of steel could virtually refer to anything from a finger-claw, a clawed-gauntlet, a kind of knuckles or a bear-claw like weapon...
some examples:
all choices look pretty bad-ass i think!
looking up HoME for Balrog weapons i found some more interesting quotes:
so they have long hair but seemingly their manes DO not get burned, even when they are aflame!
that IS interesting...
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"mouthed with fangs of steel"
I find these interesting too... I mean, it really does remember me of some Sideshow performers or Gangsta-Rappers:
Balrogs are proud. So while i used to think of Balrogs as burned, wild demons in the past... i now tend more towards thinking of them not as nude, horned muscle-monsters, but as more fancy. If their manes don#t get destroyed while aflame they could also wear magical clothing that does not get burned. I mean they could actually wear neat robes and even armour...
of course this quote could be interpreted as the Balrogs commanding cavalry too... but we also could decide to give them magical horses (probably of demon origin too... i suggest the horses might also be ablew to set themselves aflame, or they wear magical metal-armour that protects them!)
funny how looking at the text again changed my mind.
I used to think of Balrogs as this:
but now I#m seeng Balrogs more like this:
or this: