OK name one coach that is a realistic possible hire (you know that wants the job) that you can guarantee will either out coach or out recruit them? There are none.
No one knows for sure who wants the job. That's a silly stipulation. Strong didn't want the job until you offered it to him and then only if you were going to pay him a certain amount of money. For that right price, you should be able to get Gruden, Petersen, or Patterson. Hell, even if you can't, you should at least try.