Where in the stroke is your brass sticking? On the down stroke, with the brass fully in the die? Part way on the upstroke? You wouldn't happen to have a micrometer (c type) to be able to measure the case web on once fired? Regardless, it shouldn't be a problem unless you have an oversized chamber (after seeing both Tony and Marty's work, I'd say that's almost impossible) or dies that are out of spec (which might size new, unexpanded brass but not fully expanded fired brass), or something is out with your process (more lube?).
Hmmmm.....I have both a set of "ruined and worthless piece of shit" CH4D dies and a set of Lee dies. I actually prefer the CH4D dies, which I bought off of GunBroker when the Lee set came out, from a guy that advertised them with the quote above! They've been 100% for me, both sets, but the CH4D do not scratch my brass and are smoother and seem to size more "appropriately"( just seems like the sized once fired brass fits the chamber better without being overworked).
I use RCBS spray lube or the Frankford Arsenel (MidwayUSA house brand) equavilent. I'm part way through my second lot of 500 cases, 10 reloads per case. Maybe I'm strange, but I haven't stuck a case yet.
I do polish my dies before FIRST use with some flitz on a bore mop and a drill, Dissasemble, clean and polish and clean again, and then season with several squirts of lube. I also polish the expander to a mirror finish. Reassemble the dies, lube the cases, and there it goes!
Try the imperial lube. I've never seen imperial fail to be the slickest thing out there, used almost universally by case formers because it won't stick cases. If it ain't working for you with once fired brass after that come back here and we'll try to help some more.
Tom