Really, Pittsburgh of all places? I know a quick search from someone from out of town is kind of shaky and there's a lot of local knowledge you have, but are houses like https://www.zillow.com/homedetails/4411-Gladstone-St-Pittsbu... at $170k or https://www.zillow.com/homedetails/1404-Marlboro-Ave-Pittsbu... at $154k or https://www.zillow.com/homedetails/107-Lilac-Ave-Pittsburgh-... at $160k not good enough for you or something? Zillow shows hundreds and hundreds of decent looking houses under $200k within Pittsburgh city limits.
These are incredibly affordable even on a 5 figure household income. You are very lucky to live in a place with such a reasonable CoL. I've known people to move there from eastern PA for the sake of that.
If I'm missing something, I'd love to hear it, but I'm pretty sure what I'm gonna hear is that you're filtering out a lot of the affordable stuff due to some interesting self imposed restrictions.