Blogroll Links in Search

I am attempting to use the Links Manager plugin to manage external links on my website with the intent that they show up in my search results. I understand the purpose was to create a blogroll of links in the sidebar but I would like these individual links to show up in my search as well. I know I could do a custom post type, but I wouldn’t get the custom editor page that is just for links. If I can’t make the links show up in search then is there a way to use the link editor page on a custom post type?