Another use of cover by Han is during the firefight in the detention center, MAJOR use of cover, hell its the only thing that kept them alive, and of course diving for cover to get into the ventilation shaft... and in the books he feels more like the Gunslinger with 1 blaster.
If anything though, Han would be a Dirty Fighter over anything else.
I am really hating how people compare the classes to just the lore from the movies... there is SO much more lore in the universe, from comics, books, games, tv series, specials... I honestly think it would be almost impossible to assimilate all the lore.