The situation you are describing here sounds exactly like the solution for which the web is designed - browser-server communication. Or am I missing something?
Are there three parts here? The console application (say, server), the HTML page (say, browser) and a health checker (an intermediator? What is this and what does it do exactly?).
If you are discussing cookies and local storage here because you intended to modify the underlying files of the browser to include your information - this is a bad idea as their structure can change at any time.