The easiest thing to do is meet with a broker if you will be buying a property, tell them what you are looking for, including the price limit, and then have them do the work for you.
Also, if you are buying in North Portland keep in mind there are areas and properties which may qualify for additional payment and financing assistance programs.
I am a certified specialist in this area, and would be happy to email you some resources that will help.
I can be reached at firstname.lastname@example.org
Happy Hunting and best of luck!