In the automotive applications the OP mentioned, shafts are run directly in aluminum heads. This practice was also done (and maybe still is) in motorcycles.
The reason it works OK is that a high silicon aluminum die casting alloy, sometimes with some small % of copper added, is used.
I have never found bar stock of this alloy for sale, but if you could find some, or reclaim some from a broken car cylinder head that had direct running shaft in it, it may work.
However given the leadscrew wear you mentioned I think ANY nut material for a new nut may not work as well as is needed. You may be wise to replace the screw also.