Greetings,
I'd love to help you move this. I can't exactly tell what work is necessary here, but if you have the necessary files to the website, it should be a breeze. If anyone can do it, I can do it - I'm assuming out of disk space just means they lock the website, but obviously if it got deleted or something outrageous, it's a whole different story.
Honestly, I'm mostly taking on this project out of empathy. I remember my dear father's hardships with web hosting quandaries and he would have been lost without me.
Plus, I'd really love to build up my portfolio and some trust with employers.
Sincerely,
Jordan.