There are a number of rules sets available for linear, narrative style campaigns, something that can be easily played in a couple of club nights.
Super Steve’s Map-Less Wars campaign system published at fanaticus-dba.fandom.com is a fantastic example of a simple campaign system that links several battles together in a way that is simple but more interesting than stand-alone battles.
I've taken Super Steve's ideas and expanded them into several campaigns, including this one, the Pyrrhic war. They are in a simple, two-page format that can be downloaded, printed out and used to run several games, producing a historically plausible outcome.