I won't tell you to load on a progressive, especially one I'm not familiar with, that's your responsibility to evaluate the risk. That said, I've loaded thousands of black powder rounds on both a Lee pro-1000 and a Lee Loadmaster using the Lee powder auto disk powder hopper. I do occasionally wipe the hoppers down with a dryer sheet, for either smokeless or black powder.
Here's the thing with black powder and static. The static won't effect black powder as it's heavy on the carbon side and basically a semi conductor, but if your throwing an arc and it passes through the powder and heats something next to the powder you could get ignition that way. Or to put it another way, I've seen electricity burn holes in paper without setting off black powder, but if you manage to get an ember with electricity it will set the black powder off.
The only real concern I'd have about a progressive is where it primes and drops the powder. That's one reason I retired the Pro-1000, it primed rite below the powder hopper. I never had a problem, but if I ever missed a primer I had a mess directly in the primer feed. I like the Loadmaster as it primes on one station and drops powder on the next. Also the Loadmaster is a lot easier to clean than the Pro-1000. Your running cases nearly full of powder and you will get a few black powder grains knocked out and into the mechanism. The smoother the press the less you will get, but with ones like heel based 38 long colt the powder is flush or a little above the mouth of the case. And all it takes is bumping the case to jostle a little powder out. In other words, you'll have to clean the press a little more often.
One possibility is to get a Lee 4 hole classic cast turret press, a little slower than a true progressive, but very stout and I use mine exclusively for rifle and odd ball rounds.
Also, when I first started with a progressive I didn't use any powder hopper, I weight each charge of smokeless and dropped by hand. A loading funnel will sit perfect in a Lee powder through expander die. For black powder loading I used to use a Lyman black powder measure(still do for rifle loading), charge an empty case and dump in the funnel sitting in the powder through expander. A little slower than the press mounted hopper, but not bad.
One thing I should mention, I wet tumble with stainless steel media, I use ceramic for some cases, but before tumbling I hand de-prime each one. Makes for clean primer pockets and no crud getting down in the press's guts. Or a repeat of moister trapped in the primer pocket and the round not going "bang".