I usually use a software tool called dbPoweramp whenever I need to convert audio from one file format to another (such as WAV to MP3, or even the other way if I have some odd need to do so).
dbPoweramp integrates nicely in File Explorer in Windows, with a right-click context menu to initiate the conversion. It can convert to and from nearly any audio file format and has a nice set of options and yet is easy to use and very quick.
I believe it supports AIFF file conversions, so you should be able to get it to do what you want reasonably easily:
http://www.dbpoweramp.com/codec-central.htm HTH