Tell me what you think the result of this scenario might look like. A manager wants to conduct an LBO that grossly undervalues a stock. He couldn't get the votes from shareholders if they were paying attention, but instead he walks up to management at Blackrock, Vanguard and State Steet, and offers the people in charge of voting a very lucrative job at the new private company. How do you think they'll vote?
I think a better approach would be to pass through voting to the owners, but given that most shareholders don't know enough for their vote to be more than a random guess, that wouldn't much solve the problem, either. But at least the people who are affected by the decisions being made are the ones making the decisions.
I don't understand why that would be the case. Just charge a flat fee for the fund and distribute proportionally to the teams whose companies do best.
It sounds impossible to satisfy your desiderata with unsophisticated investors. They will have to delegate the task of assessing board decisions to someone.