Unsure if this happens to anyone else, but when I'm at the menu for DCS, my stream FPS will go down to anywhere from 1-10 FPS, but ONLY for the stream. My game FPS is unaffected. Unsure what is causing the issue, but here is a video example of what is happening:
https://www.youtube.com/watch?v=bnZEXK2E_zw
EDIT: Solution to the problem is to hit ALT + ENTER, putting the game in fullscreen mode!