A great question.
With Delta Gamma, they will have the Expansion Team from Executive Offices do the initiations.
(usually the Director of Expansion, and some of the Chapter Consultants)
Also, if there is a nearby Delta Gamma Collegiate Chapter (like a 2 hour or less drive away), those collegians will come and help out too.
There are a number of DGs who were exactly in your shoes, so I will PM them and ask them respond as well, since they lived the experience!