I'm suggesting you present yourself in terms of business value rather than technical jargon. For example:
Skilled at collecting, analyzing, and monitoring website traffic using structured and unstructured logs. I have put together several dashboards to show activity at a glance, giving actionable insights that improve lead collection and customer retention, Extensive experience developing tools with Python and SQL.
Full-time, part-time, contracting... those are details you work out once you get a prospective employer to talk to you at all. Every f/t job can be part-time, every f/t job is also a freelance opportunity. You start with identifying companies that might want your skills, you sell them on your value-add, then you work out the arrangement. You don't want to limit your search or set up roadblocks before you persuade them they can use you.
Right now the problem isn't so much the crappy job market (though that's a problem), it's that with so many people laid off and coming out of school looking for jobs the competition has become fierce, and employers are drowning in applicants. If you can bypass that you save them time and effort.
As a freelancer I try to focus on business needs, ask the potential customer to list their top needs and pain points, offer to fix one of the top issues, and I don't charge if I can't deliver value. You have to carefully listen to the customer and understand the problem and potential solutions to make that work. Every business has problems and unfulfilled needs, and a job for the person who can solve those problems. Freelancing is a good way to get in the door if you want to move into a part-time or full-time role.
I don't have specific advice for the skills and interests you listed, but I think the general approach to finding work applies regardless of what you specialize in.
