Hmmm.... for years I used wet/dry sandpaper for exactly the type of edges you are describing and it works very well and very fast plus the cost is low.

Just cut the sandpaper to fit on top of a hone, wet it, and start honing using some pressure. Be sure to apply torque to the edge.
It can be a pain to learn at first but the only hone that is faster is a DMT.
I suggest using a 500/600 grit for the really dull/rusted edges then switch to the 1000 grit after the nicks/rust/old steel are gone.
Purchase 3 sheets of each and that should be good for 2-3 razors.

BTW, I own and have used most of the 1K hones and the sandpaper is still my fallback method.