I have website files, but I need a way to display it

I have website files, but I need a way to display it

Here is my situation:
I developed a website for a client, and I had them buy the domain name and
hosting through Godaddy. Their business went nowhere, so they are just
going to let the domain and hosting expire. I have all of the code for the
entire website saved locally on my computer, but I need a way to show it
online since I want to keep it in my portfolio for others to view. I have
a few hosting accounts through Godaddy, but I really didn't want to buy
another domain name just to host a site.
Would there be a way to display this entire website through my portfolio
website without having it on another domain name and without going in and
editing all the links?
Thanks