What are "market" U.S. fee structures between searcher and outside investors?

When raising capital for a small U.S. acquisition (<$5M equity need) from a self-funded search, I'm curious if anyone has any perspectives on "market" U.S. fee structures between searchers/operators and outside investors. Are PE structures (i.e. management fee + carry) popular? If so, at what rates? Are incentives structured as management options? Can fee structures differ based on capital type (i.e. friends/family, family office, etc,), industry, equity need, among other factors?

Thanks so much in advance!