The way I organized my setup was using a file structure like this:
- Videos
- Movies
- TV
My media player and torrent client have access to the videos directory, and Radarr and Sonarr have access to their respective directories. The *arrs add the files to the torrent client with the destination being their respective directories, and upon completion it triggers a media player library re-index. This way you can seed and stream concurrently.