According to the Webster's dictionary liturgy is "a rite or body of rites prescribed for public worship" and with that definition there is no such animal in Baptist life, since Baptists are part of the "free church" tradition--no prescribed forms. Of course, liturgy can be loosely translated from the Greek as the "work of the people" and one can definantly talk about worship styles that have a tendancy to be constant in Baptist life that are "worked out by the people" in a regular form or way of showing God His worthiness.
In short, you have asked a loaded question...
First, what are the paramenters of your presentation
...present-day, at some point in history, etc.
Second, what do you mean by "Missionary Baptists?" You will discover that this is also a large and many times nebulous term in Baptist life that can be defined in so many ways and venues (to the confusion of most genealogists and historians.)
Third, there is really little written on the subject of understanding worship in Baptist life. Most material looks at aspects of worship--usually preaching and music.
With all this said let me give you a few possible sources to check on for your work:
Adams, Jere V., ed. HANDBOOK TO THE BAPTIST HYMNAL. Nashville: Convention Press, 1992. [check out the introductory essays.]
White, James F. INTRODUCTION TO CHRISTIAN WORSHIP, third ed. Nashville: Abingdon Press, 2000. [little, but look up "Baptist" in the index.]
Skoglund, John E. and Hall, Nancy E. A MANUAL OF WORSHIP, new edition. Valley Forge: Judson Press, 1993.
Hustad, Donald P. JUBILATE II: CHURCH MUSIC IN WORSHIP AND RENEWAL. Carol Stream: Hope Publishing, 1993. [look up "Baptist" in the index.]
McBeth, H. Leon. THE BAPTIST HERITAGE: FOUR CENTURIES OF BAPTIST WITNESS. Nashville: Broadman Press, 1987. [check out "worship" in the index.]
Also, there were a couple of issues of BAPTIST HISTORY AND HERITAGE in the 1980s that were concerned with music (and maybe one on worship) in Baptist life. You can contact the Southern Baptist Historical Library and Archives for help in locating these issues and ascertaining their possible usefulness (I am sorry that I can't help with this, but I am at the office and my back issues are at home.)
http://www.sbhla.orgLet me know if this is of any help and how your presentation comes out.
Pastor Tim.