I did some measurement. With the 11,200-km range, the DF-31As could reach most of Western CONUS, New York City, and Midwest, but definitely not DC, Texas, and the Deep South. But if the rumor of the DF-31A's 535 warheads had their weights reduced from 470kg to 360-400kg were true, maybe the DF-31As with 360kg 535 warheads could reach further down to DC and Northern Virginia.
If you look at the Trident 2 figures, if you half the throw weight, you could get double the range.
And fixed nuclear silos aren't about fitting in as many warheads as possible. The US and Russia use them as a deterrent with launch on warning and also as a distributed missile force which can soak up incoming fires.