Some BM devices (e.g. H.264 Pro Recorder) have on-board H264 encoding when you record through Media Express. That's probably what you are talking about.
While there are a number of solution, the easy one that comes to my mind is using the very free, open-source OBS (Open Broadcaster Software). It's an app that's meant for streaming (very big with those who stream from homes, especially in the gaming realm), but you can use it to record to mp4 as well. It uses the outstanding x264 codec, and you can set your own bitrates, resolution, and other settings to best fit your needs. Then if you ever need to stream your feed, you are set!
Note it uses your CPU to encode and will use more CPU than recording to Pro-Res.
Just Google it. Not sure if posting links to products like that are allowed here.