The 3rd Armored Cavalry Regiment was formed in 1846 and probably did serve in the Philippines, though the Wiki article on them has a hole in it for that period. You will notice though that their insignia does indeed include a trumpet and the number 3.
They were nicknamed "The Brave Rifles" and their motto is "Blood and Steel".
http://en.wikipedia.org/wiki/3d_Armored_Cavalry_Regiment_(United_States)
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