Developer Bloober Team has provided a few details on their re-release of Basement Crawl, which will be re-titled to Basement Brawl. A single player mode is planned, but they are still "unsure of what it [will] look like."
The single player will be a campaign in which you learn about the characters and their back story as well as the universe that the game will take place in. We will have a video coming out soon detailing the story and biography of the characters.
Basement Brawl is planned for Q4 this year, but the developer says they are "to ensure that we make a good game rather than struggling to meet a release date." The developer plans on releasing a few videos in the near future showing each aspect of the game.