Sure you can use black only.
There are lots of examples of this in "MIS" folders in the QTR download for 1400 printer.
But as Hendrik mentions the dots will be visible in the highlights.
I suggest trying various combinations before you decide. You may like to add the LK and maybe even the LLK.
Actually its probably easiest to look at the UCmk-...-warm.txt profiles for the 3880. They use just K, LK, LLK.
Make variations by just commenting out the inks in the GRAY section.
Roy