Just to let all know that I (original poster) am still following the responses.
Maine Sail, certainly re-chroming would be the way to go. From what I can determine, not any places near me just to take the drum in an pick up later. And one in the South Bay (I'm in the north) that I did speak to a few years ago was reluctant to price until I pressed for just an guestimate. Don't remember exactly what the response was, but certainly was way way different than $60. But yes, I will check out your suggested Hemmings and others.
From the responses, seems that powder coating probably won't have the durability needed for winch duty. I seldom use the "offending one", but also, I don't want improved appearance to be strictly ornamental either.
Still not willing yet to abandon the concept. The powder coating sprayer is still unopened in the box, I've saved the receipt, and the HF store is on my frequently driven path only a few miles away. On Monday, I think I will call directly to a seller/specializer of powder coating paint (hundreds of types and colors) and ask for their opinion.
If I go ahead with powder coating the winch, I'll use it rigorously on a few outings and report back.
Thanks all!