I have never really liked this distinction between "literary" and "genre". Are you seriously telling me that someone like Neil Gaiman, who is both a top fantasy writer and one of the best writers working in English right now, can't be both? Fortunately, some "literary" markets are genre, or accept genre, writing. Here's a list of 50.
The first one, by the way, accepts "crime poetry". That sounds weird to me but could also result in some very interesting writing, I think.
» 50 Literary Journals and Magazines Open to Genre Work (authorspublish.com)