Screening should not take three or four days. And you are not entitled to unreasonable requests and my personal information. You do not get my first and last name unless you provide me yours. I will not tell you where I work. You are more than welcome to contact any provider that I have reviewed. I will not give you a list of providers to contact. There is no reason you would require a personal recommendation from three or more providers.
I understand your need to protect yourself. But when you go so far as to take four days to screen, and follow up with a need for more personal information, you have just lost an ideal client. "Ideal Client" A very clean and hygienic person who is respectful of your time and boundaries. Someone who will not haggle your prices (which is incredibly disrespectful). And someone who has a reputation for treating the girls properly.
So I have to ask what do you find to be unreasonable screening methods??