Is there a website channel that can be personalized to look like a client’s real website?  
Yes.
Websites belong to a persona designated as an organisation. 
As an organisation, the persona can have a URL-based website or an article-based website.
You can also use the Browser Channel.

If you use a real URL to the website, you can create something using https://mobirise.com/, and once it is created, you can send us the files and we can host it for you and send you the url