You could... Let hazel pick up the file, then Hazel would use AppleScript to.. tell application "Alfred 2" to search "<full path to file>"
That would bring up Alfred in file browser with that file selected, then you would have the option to run any action on it. To continue though, you could have a custom "move and open" action. Then, save the file name in a temp place, use external triggers to hit a next step in the workflow that is a file filter that would only show folders so you could search for the folder to move to, when you press enter, it moves to that folder, then opens the file.