I saw something earlier today, but it seems to have been deleted, about a group called Legion M who are trying to find investors (not donors) to build a small for-profit studio. Once it's built, they may create non-profit fan-films as well as small for-profit indie films. Cool. Good luck, guys.
Now, if two years ago, Alec Peters had done the same thing, announcing that he was putting the Axanar project on hold (and keeping that money separate) until he had a studio bought and paid for (well, in mortgage), and not done some of the other things he did, I would bet CBS/Paramount would not have cared one tweet about his $600,000 fan film.
Also, I was reading old topics on Trek-BBS, and I found an exchange back in 2012 where someone from (I think) ST:C or ST:P2 listed all the things CBS told them not to do: don't use Kickstarter, don't pay the crew, don't pay actors more than micro-project scale, etc, etc,. Alec Peters replied back that those looked very reasonable. Over the next three years, I think he used that list as a checklist of rules to break because it looks like he did every one of those don'ts. It's almost as if he was TRYING to come pop up on CBS's radar.