Back around 2007, Ken Hurst was exploring the idea of producing a new CNC machined copy of the Syracuse Lefever with barrels produced by Antonio Zoli. If any prototype was ever made, I didn't hear of it or get to see it. I don't think it ever got past the design and discussion phase. He was soliciting ideas and trying to gauge interest to get a feel for the economic feasibility of the project.
Anyone interested in those discussions could do a quick search of Ken Hurst's posts in early 2007 and quickly find the related threads in the archives.
The idea was to produce a gun in the white that could be engraved and finished to whatever level the purchaser desired. Being made of modern steels, the gun would have appealed to those who desired to shoot modern ammunition, and even 3" magnum loads. Of course, a lot of folks said they wanted one, but in reality, the market would end up being pretty small for what would end up being a very expensive custom gun that was after all, only a copy of the real deal. There was a vocal segment who desired to see it in the small gauges such as 16 and 20, and even in a 28 gauge which was never made in the original Syracuse Lefever.
Jagermeister, Ken Hurst did not ever discuss producing these guns for rental purposes, so you would be left out in the cold as you are now, not owning even one double shotgun. But now that Trump has been elected, maybe the economy will improve, and you will finally be able to buy (not rent) one and become something besides a tire-kicker that drools on the counter at LGS.