There are more than enuf strongly Safe R States to block adoption of an amendment. While not quite as many, there are also enuf strongly Safe D States to block unless an amendment be bipartisan in support.
By my count, the Democrats would sit 2 states shy of ratification, if you have all the Obama states he won in 2008 or 2012, certain states out of the South, the Sunbelt, the usual Democratic states, and the Midwest.
Probably, they'll have enough control to ram through a slightly less controversial idea, such as reweighting the electoral college to benefit the popular vote winner. Regardless, something will be done, most likely, since a political majority will not forget (or forgive) two presidential elections that should have gone their way.