Hi Emily,
I don't have any personal experience with The Zone but I have heard from others that it does work pretty well with IR. Good Luck with it and please let us know how it works out if you try it!
However, here is a link to the low carb forum... I am not sure if the zone qualifies for that.
http://www.3fatchicks.com/forum/forumdisplay.php?f=117