I have had a husky voice for about 4 years, it had gotten to the stage where it was nothing but croaky! I was referred to ENT and ended up having a nodule or two removed a few months ago. Was told that I was suffering some left cord paralysis. ENT also found white deposits on my left cord which showed no diagnostic features, so they decided that my lupus must be causing it. Which tends to be the default answer to anything that can't be figured out...
Anyway, am now less husky. It's now leaning towards the sexy side of husky, rather than the "ooh do you have a cold? your throat sounds sore" which got annoying when asked the fifth time of the day! Plenty of sleep and hydration makes a world of difference too. It does get huskier during a flare up, because the area around the cords get swollen which reduces vibrations of the cords, ergo quality of voice.
I hope that helps!