There are three ways to find DMin Theses.
The first is through the iShare or World Cat databases. Instructions are HERE.
There are also two specialized databases to help you locate D.Min. theses. Remember, there will be some D.Min. theses, especially older ones, which will not be included in these databases:
Research In Ministry Online is a freely available database that indexes DMin and DMiss projects from reporting schools in the United States and Canada. Indexing began in 1981. If you locate a thesis in RIM, you can then check to see if it is downloadable as a TREN e-doc or else search for it in WorldCat to request it by Interlibrary Loan.
The Theological Research Exchange Network (TREN) is a library of over 10,000 theological thesis/ dissertation titles representing research from as many as 70 different institutions. Through TREN, you can place orders for print or even download electronic copies of many of their theses.