I've been on a colonial - early Republic military history binge for the past two years. I've probably read about 30 books covering King Philip's War to the War of 1812. It's a truly fascinating era.
For a larger picture of post-1776, I'd recommend the following:
Ketchum's book, Saratoga, that I mentioned earlier is also an excellent look at the year 1777 (year of the hangman) and how the British failed miserably to capitalize on their strategic gains.
Iron Tears: America's Battle for Freedom, Britain's Quagmire by Stanley Weintraub
The Road to Guilford Courthouse by John Buchanan (covers the war after the shift to the Carolinas, leading to Yorktown).
Angel in the Whirwind by Benson Bobrick (a near classic overview)
Redcoats and Rebels by Christopher Hibbert (The Revolution through British eyes).
Washington's General: Nathanael Greene by Terry Colway (Covers much of the war with an emphasis on Greene's southern campaigns).
Benedict Arnold by James K. Martin (an eye-opening and pretty impartial work on Arnold's life. Had he died at Bemis Heights, he'd be one of our greatest Revolutionary war commanders).
Though outside of your current interest, a work I consider essential in understanding the origins of the American Revolution is Fred Anderson's epic, magisterial Crucible of War: The Seven Years' War and the Fate of Empire in British North America 1754 - 1766
It's a shame that The French and Indian War isn't covered as much as the Revolution.
If you're ever interested in an overview of how the American Revolution influenced/affected Europe during the late 18th century, I recommend Jay Winik's The Great Upheaval: America and the Birth of the Modern World, 1788-1800. A great read.