This is according to my understanding, a stake president doesn't make any recommendations for a missionary to serve any place; however, a stake president may have learned the missionary's PB speaks of going to, or learning a particular language, Europe and informs the missionary council with regard to this information.
Information about the missionary is provided by the bishop and the stake president. For example, a handicapped child or a potential missionary may have some health problems. They inform the missionary council by which all the information received is taken into consideration.
They take this information into consideration and the call is then made. However, I don't believe the stake president would say, "I recommend this missionary serve in Utah."