Hi CityZen,
Let me help you with this.
Please note that using the Blu-Ray between the TV and the NUC is similar as using a video converter/adapter. This can cause loss of information when sending the signal causing a black screen or no post at all.
My recommendation is to update the BIOS of the NUC to latest. Here you have the link:
https://downloadcenter.intel.com/Detail_Desc.aspx?DwnldID=24583
In the case you have a much older version, please go updating it one by one if possible so you don’t brick the chipset. Here you can get more BIOS versions:
https://downloadcenter.intel.com/SearchResult.aspx?lang=eng&keyword=DC3217IYE+
I would also like to know what happens if you connect the NUC directly to the TV? Perhaps updating the Blu-Ray firmware do the trick.
Kevin m