Looking for small multifamily (2-4) for $125-$175K range - Hope for Class B?

[Andrew Northcutt]

Hey everyone, after shifting around my finances and returning to look for my first rental property, I am looking for a small multi-family property in a lower budget range from $125-175K (smaller % of net worth). Given the range, I am looking in cities that are more affordable but still appealing characteristics/demographics like Columbus, Cleveland, Indy, KC, Memphis, etc. I guess my question is what are the chances that any of these properties will be in or approaching Class B? 

I know that multi-families, even a duplex, triplex, and quadplex, are usually at premiums to SFR given the income and cash flow potential. Therefore, I am assuming that properties in this budget range would be lower quality and in less desirable neighborhoods even in the more affordable cities. Am I thinking about this the right way and what would be the best way of determining the class of properties to balance quality and the lower budget?