The issue with DC, NY and Boston is this.
Unless you receive need based aid, this is unlikely.
You can fill out a net price calculator to see. All schools are different but it’s a place to start.
Many schools have a DC semester. My daughter did one and worked at a think tank but had a multitude of opportunities.
What I would more focus on is - what size school does she want. It sounds like she wants urban. Should it be one with greek life? How large a school does she want?
These type things to narrow in on a list.
Both Psych and IR can be done most anywhere. Not sure how they marry up - but once you know your need profile, you can start picking schools - and rest assured, Texas ones will hit budget as will some neighboring states.