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.