As an low-rent artist, I have lived in some of these neighborhoods. Logan Square and Pilsen are kind of boring....particularly Logan Square. It has no center...no soul...Pilsen has 18th Street which I love, but it is a very one dimensional community.
Rogers Park has a nice mix of cultures (not one dimensional), the lake, the Red and Purple Lines. It has more of a mellower, greener feel to it than most places in Chicago. It has some rough pockets. I am strictly an artist and can't speak to the condition of the real estate market their in relation to the other areas in the city, no clue... Keep in mind you are spending five years of your life somewhere, not just investing.