That would be a big mistake. Since Trump is (i believe) innocent of any wrongdoing in the Russia case, he want’s the most rabid Trump hating investigators possible. They will go overboard and expose themselves like they have been doing for the past several months. I smell a little Steve Bannon straterery here.
The problem with your strategy is that if you have a special prosecutor all up in all your business all the time, you (and all of your staff) will need to walk the tight white line all the time, without one slip. Not only can’t you break the law (and you shouldn’t) but you can’t even accidentally say the wrong thing, appear to mis-represent something, or ask someone to do something that may break some obscure law somewhere. Every time it appears you did, you and people below you will be called to provide even more endless hours of question/answers that can be used against you. Any time you make an appointment, let alone work on actual policy, you will need to consult a team of criminal and constitutional lawyers to make sure you don’t do the slightest thing that Mueller can hold against you.