Easiest way would be to record it from screen using something like Camtasia, (theres plenty of screen recorders Google it).
Get yourself a Youtube account then just upload it to Youtube and give the person in the USA the link to watch it.
If the item you are recording is subject to copyright, make it much harder/impossible for the organisations that try and get this stuff removed from youtube by not putting the proper name of the programme in the title or the tags.
I do this every week for some people in Aus, New Z & USA and some other countries judging by the viewing data that youtube kindly provide