Is the 2% Rule (Or even the 1% Rule) Possible in Chicago?

[Alexander Small]

Hi, first time RE investor here. I currently rent in downtown Chicago with my fiance, and come this June we plan to buy a multi-family property (living in one unit and renting out the others) within the Chicago city limits using my VA loan benefits.

The issue that I consistently run into is that I cannot find an investment property that meets the 2% or even the 1% rule. Which leads me to my question: how can I do a better job identifying and finding deals in this type of RE market? 

Thanks

Alex