The church has a structure with a number of specific positions. If you feel that work is needed in reaching new people, they you could get the Evangelism chairperson working on it. It is important to reach out to those not in leadership for assistance. In a single sentence, you are to help in maximizing and realizing the ministry potential of your church. Please recognize this when recruiting help.
Every person has a ministry.
To some, it may be in going out on an evangelism campaign. But that young lady who sends cards to every member on their birthday has an important ministry as well. The most capable people are probably the busiest. You will find yourself coming up with many of the same names when it comes time to do things. You may want to ask for their help it may be a special ministry that they are really interested in but try not to put too much of a burden on them.