I saw them at Giants stadium a few years back (when i lived in jersey & had season tix)...they performed during the half-time show and were amazing. They got a huge ovation. If you haven't seen them, it's worth the time.
My younger brother was on the Silent Drill Team for two years. It was very cool watching his shows. During the summer they do two shows per week in DC. One on Friday nights at the 8th and I Marine barracks and a Tuesday night show at the Iwo memorial. The Friday Evening Parade at the barracks is the best. Call ahead to get tickets, because sometimes they can be hard to come by. You are right about the chills though.
+1 on the 8th and I Marine Corps Barracks Friday evening parade. It's an awesome show which will be appreciated by anyone, but especially those who have done some drill in the military. Semper Fi.