It’s hard to determine from your posts if your problem is with your MBLD or with your TV. You should try to isolate the problem first.
How is your TV accessing the content on your MBLD? via SMB, NFS, iTunes server, DLNA, Twonky,? It is possible that if it is DLNA or Twonky that the media server database is being rescanned or rebuilt after you add a lot of new data so that for a short temporary time period the media server is inaccesable.
You can check to see if your shares are full in the Dashboard. I highly doubt this is the case.
If you are using DLNA, i highly recommend that you install Twonky instead. There is guide on how to do it. Search for it…