After having RTFF and successfully used the search function (it DOES sometimes work!), I've found loads of info about spotting at BHX. However, none of the sites mentioned the local railway station that's the 1st stop after International towards New Street. Shortly after the station you pass the end of the runway and get a very brief view of most of the runway.
But can you see anything from the station platforms - or from anywhere else near that end of the runway?