You can't beat DIY for consistency
The problem is that you ultimately can't have it both ways. You cannot make it somebody else's problem to perpetually store your content for free and expect them to be around forever to provide that free service. If you want to keep the content, both data and presentation, the only way you can ensure that it will be around for the long term is to take care of it yourself.
Something like Freedombox may well be a suitable solution. You keep control of your content, and you can still use online freebie cloud storage (Skydrive, Google Drive, Bitcasa, Dropbox) for backups. You could even organize and flatten your data into static content and upload the lot to several of the above, and have it accessible directly from the mentioned cloud services over HTTP. If one of them goes away, the URL might change, but the content will not. And you can work around the URL changes using your own domain name and a simpleframe redirection service that opens a full screen frame and loads in it the base URL of the content you want accessible from your cloud storage service.
This would give you consistent presentation and content, and mirroring to multiple could storage services would mean you don't rely on any one of them being around forever - and as new ones come up, you can mirror to those, too, to protect yourself against data loss.