To accomplish this with baretorrent or other simple gui client, you have to run it in some vm or make it accessible with remote desktop/X windows. Even then, there is no facility (which Deluge does provide) to click a torrent link in your local browser and have it initiate a download on your remote server-instance.
For a real barebones non-gui option, rtorrent tui client with tmux detachable text session is quite workable even though it too lacks the advanced features provided by Deluge.
EDIT: Baretorrent does offer an extension that allows you to remotely add a torrent, but doesn't give you a full local client as Deluge does.
I prefer aria2c for this. Much more agile than rtorrent or deluge-cli if you like the terminal. You can have one instance of the app per torrent, each in its own screen or tmux and it's up-to-date regarding torrent protocol. It also supports RPC but the few webUI I found aren't really good. I was using solely that until I needed to select a few files in a torrent that held thousands. The deluge GUI was more practical to do that.
edit: to be honest, one of the primary reason I drove off away from rtorrent was that I could never remember the key bindings correctly and setting a ratio per torrent to stop sharing wasn't possible easily.
And it's a lot easier to use than rtorrent that has some insane shortcuts you will never remember.
You don't even need tmux/screen as with rtorrent/aria2c, just connect with deluge-console whenever you want, it's deluge server that is doing everything in background.