Ill tell you what I do.
I try not to call the first couple weeks of season. I don't want any deer in the area to know i'm in there. BUT I would not use a fawn in distress call, If deer do come in they will be looking for danger and will probably hang up about 40 yards out. I would try a fawn bleat. Make it quiet, Like a browsing fawn walking around looking for its mama. Nearby does will feed towards the call.