There are a lot of great IR schools in what I would call the greater DC orbit.
Among universities, those would include William & Mary (which for a public actually feels much more like the privates on your current list), George Washington, and American for less reachy colleges (although typically American wants to see a lot of sincere demonstrated interest), and also Georgetown and Hopkins as more reachy options.
Although it isn’t East Coast, the Korbel School at the University of Denver has an excellent reputation for IR, and with your profile they may offer significant merit:
Among LACs, again in the DC orbit I would definitely check out Gettysburg. They have a couple distinct tracks in IR/Global Studies:
They also host the Eisenhower Institute, which has a lot of great programming:
One of those programs is the Fielding Fellows program, where among other things you do a research project for the State Department: