graphic sitemap diagram tool from a URL

When I was using PCs I used Visio to generate a graphic of a client's website. This allowed me to show the client how many pages they had on their existing website, how they interacted and linked together, what was dependent on what, and being graphic as apposed to text it had much more impact.

Now that I am zero PC/Microsoft I have been able to replace every tool I used with something equal or better, except this one critical tool. This used to save me days worth of work. I have seen people suggest OmniGraffle, and a ton of other tools but they all say "for designing" AKA, pre-build. I need to enter a URL and get a graphic rendering of a website and its pages.

Does a tool like this even exist on Mac?