Not a pull-up exactly, but my favorite eccentric-less back training at home is a strongman rope pull. I bought 50ft of 1/2in nylon rope at the home improvement store, tied one end to the base of an old milk crate. I fill the crate with dumbells, small plates, whatever. I then stand or sit at one end of my basement and pull the rope, hand over hand.
After I got my form worked out, it feels like a high-rep DB row, but with only the concentric. Not fancy, but effective. I have indoor-outdoor carpet to pull this across. If bare concrete, I'd glue a piece of flashing or acrylic to the bottom, and then replace it when it wore down too much.