I had successful experience with Amazon Web Services. If you decide to go with AWS, there are options inside of project settings that allow you to directly upload builds to AWS S3.
Yes, it is really simple. As you mentioned, the free trial will be sufficient enough to prove itself. And even after that, if you use AWS only for hosting rarely visited UE4 demos, it will cost a fraction of other host providers. (Under $2 monthly most of the time)
What hosting companies do people use to host and load HTML packaged games? I’m having a lot of trouble with HostGator - I’ve tried a lot of different solutions but I can’t get compressed files to load. This is going to be a problem with the stuff I’m making gets a bit bigger.
What web host can I use that’s just going to work? I’ve been looking at Amazons AWS free trial because it’s free but there seems to be a myriad of options after that…
Cool, I’ve been looking at that - is it simple enough? It’s easy to upload and load uncompressed stuff with my current host through a file manager, just the compressed files seem to be a problem - I want to work on UE4 not my web host 
Maybe I should check out the free trial.
I’ve uploaded to AWS - I’m getting this error when I try to view the webpage
Downloading failed:
HTTP error 404 on file UE4Game-HTML5-Shipping.jsgz
What could that be from? The file is definitely there
AWS has a concept of private/public files, so perhaps the file is not set to be publicly available? See Configuring ACLs - Amazon Simple Storage Service
I have the compressed files working through AWS at the moment - now I’m failing to point my domain to the AWS hosted files! God ■■■■ it all.