I do not know how to say this without offending anyone so here goes? Don't you worry about shooting a doe that has a fawn hidden in the brush somewhere? The little fawn will have a slow death. The little thing will starve to death.
I am not sure why your DNRC has a season so early in the year? Maybe your fawns are born early and hanging next to there mother already? I have yet to see a fawn this year.