The easiest way to communicate his numbers of course is with a spread sheet. But until you have that up and running, one way you can let us know how things are going is like this:
AMPS 350 (his BG before eating breakfast and before his AM shot) 1u (what dose you shot)
+2 300 (BG reading 2 hours after the shot
+4 270 (BG 4 hours after)
and just post numbers as you get them, always referring to how many hours past his shot the reading was taken.
Then on the PM cycle, the same thing "PMPS" would be his reading 12 hours after his AM shot, then +2, +6, or whatever, how ever many hours the test was done after his PM shot.
Using the +2, +4, etc reference is easier for everyone because that doesn't require that anyone has to consider which time zones are involved.