After Effects Rendering for Giant Screen

Please help me!!! This should be a simple fix but I can't find any info online.

I designed an 11 minute animation that will be shown on a 14ft x 8ft screen. I made my composition settings 16128px x 9216px after doing the math to get the aspect ratio correct. The frame rate is 24fps if that matters.

When I go to render the file, it's HUGE. Like, over 100GB. What render settings should I use so that I'm able to have the video not be blurry when shown on the giant screen but not have a massive file size? 

Here are the render settings at QuickTime with Apple Prores 422

I tried again with QuickTime and Apple Prores 422 LT, hoping it would be smaller, but it's still so large.

Thanks in advance!!