Show under google.com SERPs but not under google.co.uk SERPs

If the WMT Geo targeting is not an issue. I suggest you to focus on local SEO.

  1. add local area in your anchor text.

  2. Get list of all business directory and submit on that

  3. Use Alexa website to find the geographic country from where your visitor are coming from. ( Add you website in Alexa and specify your country)

  4. Add your website in Google local business listing.