There is a couple of things that needed to be disclosed first. First off, what are the specs of your file? Is it 1920 x 1080? What is the frame rate: 23.98 or 29.97?
Once that information is given, it can help with giving the best answer. In the mean time, here is some advice based in the information you have given.
Based on your mentioning Apple ProRes LT, I would assume you have access to FCP. With that, you don’t need me create an Apple ProRes LT for a playable Blu-Ray; you need to create streams as either H.264s or AVCHD with a separate .ac3 audio track. There should be an option in the H.264 setting in Compressor in the Inspector window where you can change it from .mov to Blu-Ray. Then take an .ac3 setting from a standard DVD setting an use that for your audio.
As far as Toast, there is an option for you to burn a Blu-Ray, but I am not familiar with the latest version, so you may want to double check with what Toast will take. However, if you have access to Adobe Encore, that can easily author Blu-Rays discs.
I’m not sure what type on computer monitor you have, but it is important to know that EVERY TV and monitor will display an image differently. As every TV and monitor is not calibrated or set-up the same, an image may look different on one set when compared to another. I would check your coloring with a Vectorscope and Waveform monitor (which is available in FCP) instead of immediately throwing a filter on. The broadcast filter is mainly used to crush the blacks to make sure your video stays at or below 100 IRE.
Hope this helps!