large H.264 .mp4 and .mov files produced in compressor won't play in hardware media player

I am working with FCP 10.3.2

Compressor 4.3.2

OS X El Capitan 10.11.6

Late 2013 iMac 3.5 GHz Intel i7, 16GB 1600 MHZ DDR3, NVIDIAA GeForce GTX 780M 4096 MB

I am trying to play long, high-quality video files on a micca SPECK G2 hardware media player.

Their documentation says they support H.264 codec files with .mp4 or .mov extensions at bit rates of up to 70 mbps (kind of a superlative statement on their part..).

My files that I have run from FCPX to compressor only work on the micca SPECK G2 media player when they are under 4 GB in size, irrespective of the bit rate. A 70 minute, 7.5 mbps file that is 3.8 GB will play, as will a short test file a couple minutes long at a 30 mbps bit rate. But no files over 4 GB will play.

I have shared a master file from FCPX in ProRes 422 and then converted that to H.264 with a .mp4 extension in Compressor, as well as directly sharing from FCPX, also sharing FCPX master file in H.264 and then converting to m-peg in compressor. The FCPX projects are all 29.97 fps, 1080p, and these stay the same for all the transcoding.

I have tried transcoding files with MPEG streamclip 3rd party software and they will play--70 minutes at ~30mbps at ~14 GB file size. I did this by taking the FCPX ProRes 422 export and transcoding it into H.264 .mp4 with the afore mentioned software. So I know it should be possible. I don't like the quality over all with that software, and would like it to work with Compressor.

I would like to know how to produce a 70 minute, 20-40 mbps H.264 encoded video file with compressor that will play on a micca brand SPECK G2 hardware media player.