I will say, the Black Max is "very scarce". I looked and lurked on the web for almost 2 years before I found it.
They do come up, though rarely, on eBay. The ones I've seen since I got mine, the sellers did not know the proper name of the model. So, you really have to visually scan the listings looking for the watch. The antique shop where I bought mine just had it listed as a TIMEX sport watch! But, my "Eagle Eyes" spotted it as a Black Max immediately.
Here's a link to YouTube and the original Black Max TV commercial. When you access the YouTube page, it's the first item listed (Womans face...Black Max title)
TIMEX BLACK MAX TV COMMERCIAL
Keep looking, Richard. I will also keep an eye open for one and will email you if I find one.