Amazon Prime TOS. Not clear to me if 3rd party hosting is allowed or not when I read this. I subscribe to Amazon Prime myself, well worth it for the shipping and streaming video. Not sure I would commit just yet for image hosting.
You may use the Services only to store, retrieve, manage, organize, and access Your Files for personal, non-commercial purposes using the features and functionality we make available. You may not use the Services to store, transfer, or distribute content of or on behalf of third parties, to operate your own file storage application or service, to operate a photography business or other commercial service, or to resell any part of the Services.
Imgur is no solution either...
....don't use Imgur to host image libraries you link to from elsewhere, content for your website, advertising, avatars, or anything else that turns us into your content delivery network.....
My Last Word....... alternative sites presently let you get away with linking images but if they are swamped with PhotoBucket exiles, they might just up their own enforcement of existing TOS.