What is this 'broadsword balance' of which you speak?
Seriously, back in the day (i.e. when I regularly fought with sword and shield), I was taught to make swords very similarly to Alfred - good weight basket hilts (usu. welded heavy bar stock) with a lead pipe cap pommel, which brought the balance point to within 2" of the 'top' of the basket hilt, on the blade side.
Then, I stopped using broadswords and went to pure Japanese weapons forms, and discovered (through many years of having instances of being forced to fight that way) that my katana (30" blade, 15" hilt) had a good enough balance to fight with one-handed, and a plain ol' stick, 28" - 30" pf blade, with just enough hilt to fit a gauntleted hand on, worked just fine for a broadsword, in the instance when I've needed to use one on purpose.
To answer Alfred's query, I have noticed that few, if any, of the top fighters in my area use both a basket hilt *and* a pommel, and the ones who don't use basket hilts use pommels more for look than for optimizing balance and effect. I didn't notice when the change happened, but I agree that years and years ago, it was the norm, but is now seemingly a rarity.