It strikes me that what in state students are paying at an institution is not particularly relevant in the decision making process for out of state students.
Ultimately, each student is evaluating what they are going to get out of college compared to what it will cost them. When you look at it that way, whether a school is public or private is not directly relevant either. Ultimately, a student will consider their desired course of study, the size of institution that they think will be best for them, the lifestyle that they will live at the school in question, future job prospects, the ability to make connections that may be useful later in life and some other factors on the one hand, and then weigh that against the monetary cost of attending the school (including the impact of scholarships, etc.), the ability to come home from school, the culture shock that might be associated with moving to a new region, and some other factors on the other.
Your status as an in-state v. out-of-state student really only matters to the extent it influences a factor that is directly valued by the student.
I attended the University of North Carolina for law school despite being an out of state student. I knew that I ultimately wanted to live in a warmer environment, I wanted to go to a well respected school (Carolina was in the top 25 at the time, and was better regarded than just about any public New York law schools), and at $14,000 per year in tuition, it was still not that expensive, even though my in-state classmates were paying about a quarter of that.