If you want to go into a new field, a great question to ask is:
"What opportunities might there be in this field for someone with my background and qualifications?"
Ask experts in the field you target. Find them through networking - through people you know who know them, through LinkedIn, and through requests to them directly.
You can just make a "cold" approach to someone to find out whether you can get an informational interview - flatter, say you've heard great things about him or her, how incredible s/he is, and you'd appreciate getting 20 minutes of her/his time to:
* learn how s/he got into the field and
* get some guidance about how you might go about getting into the field, given your background.