How can I bring her to the negotiating table without putting her on the defensive? I don't expect to 'win', but she knows exactly how I feel about the area we live in; and I think that is worth something.
The beauty of the Policy of Joint Agreement (POJA) is that it enables you to find a solution where both of you win. If you are not already in the habit of using this, you should start with something less emotional. Try food as safe place to start.
You: How would you feel about chicken for dinner?
Her: I hate cooking chicken.
You: One possibility is that I make the chicken while you put the children to bed.
Her: I hate the way you make chicken. Suppose I give you step by step instructions on making chicken the way I like it and you follow them?
You: Great solution, I find the way you do it delicious.
This is a simple example but it is designed to show you a way that the POJA is used to come up with a solution that neither would have thought of at the outset and which makes both happy.
Sometimes the POJA has to be done more than once. Keep it pleasant and safe. Never say things like 'you know exactly how I feel about the area'. It is always disrespectful to tell someone else what they think. Stating your point of view by starting it with 'I' is very helpful. For example; 'I am unhappy with where we live and would like to discuss some alternatives that would make both of us happy'.
Allow plenty of time and stop the moment the conversation becomes in any way adversarial meaning that one side or the other is putting emotional pressure on the other. It has to stay safe. At all costs avoid 'I did xyz for you so now you must do abc for me'. Both sides lose in that scenario.
It can take months to negotiate something as important as a place to live. Remember that if this was simple, it would be solved already!