Probably not what you are looking for, but:
There is this recent paper by George Raptis:
Homotopy theory of posets, 2010
discussing about model category structures on the category of posets.
Probably not what you are looking for, but:
There is this recent paper by George Raptis:
Homotopy theory of posets, 2010
discussing about model category structures on the category of posets.