Nice little project! I have something very similar - a wireless node measures temperature in the babies room and can be viewed on a webpage. I want it to remotely control the heating in the room, but that is a work in progress as I need to reverse engineer the wireless signal to control it.
There are so many myths about SIDS, it is crazy. In the UK we don't count deaths with an obvious source of asphyxia as SIDS - SIDS is only diagnosed by excluding pretty much everything else. Not to say that it isn't important to avoid asphyxia though. It's incredibly hard to isolate the factors that cause SIDS.