Sent a message to Swaggerdile Beta folks, and made some screenshots. Here's the file browse interface! :)
If you click gallery view, the full-size images show up in a box and you can 'Next' through the entire folder.
Swaggerdile supports nested folders. Tier permissions can be set folder level for easy management!
Files are managed with drag 'n' drop kinda like Dropbox's web interface. And yes, it does support non-image files as well! :)