Sent a message to Swaggerdile Beta folks, and made some screenshots. Here's the file browse interface! :)
https://twitter.com/tigerdile/status/679299861561417728

If you click gallery view, the full-size images show up in a box and you can 'Next' through the entire folder.
https://twitter.com/tigerdile/status/679300062170767360

Swaggerdile supports nested folders. Tier permissions can be set folder level for easy management!
https://twitter.com/tigerdile/status/679300338747314176

Files are managed with drag 'n' drop kinda like Dropbox's web interface. And yes, it does support non-image files as well! :)