I wont answer the question, since its not directly relevant to me, nor can I imagine it to be a “one size fits all” answer.
However, one point if I may. Whatever decision you make, it should be made prior to dating the prospective shidduch. It is unfair to you and to the boy to date when you are uncertain about whether his background, on its own, will hinder his chances of a successful dating run (culminating in marriage).
The dating process should be solely to determine the suitability of the prospective couple.
May you find your zivug soon.
About the actual question though: Some girls feel they need a frum family/in-laws for the success of their marriage, while to others its not relevant, as they feel they can be successful with as long as he is a “good, frum bochur”. Each one has a right to their needs and emotional makeup.