It can be tempting to focus on your demographic and a publication’s readership (“my customers don’t read the Sun”) but that would be a mistake!
Firstly, national publications tend to have high domain rankings (your local competitor might not have the same backlinks [aka SEO] and so you’ll beat them on Google when your customers come looking; and secondly, your customers (as a demographic) might be 0.01% of a national publication’s readership but that number is usually much greater than the 100% readership of ‘Your Demographic Daily’.
Don’t be a PR snob – think bigger picture!