If this is a good idea, then there are a few things I could try to do.
Which of these is or are the most appealing to you as someone who might want to actually go to one of these shows?
West Side Arts, 'artists in the round' format -- would be Monday night at 9 pm. I would trade off songs with two other performers for 45 minutes to an hour. There would be a $5 cover.
West Side Arts, featured artist -- would be a Monday night at 10 or 11 pm. I'd play by myself for 45 minutes. There would be a $5 cover.
AS220 -- might be any night of the week (I wouldn't get to choose), probably not Friday or Saturday. Would play for 45 minutes to an hour. There would be 3-4 performers, each getting a set starting at 9 pm. There would be a $6 cover.
Someplace else (comment with suggestion).
None of the above. There's going to be another show at your apartment this fall, right?