The £10 Droitwich-Ashchurch Anytime Day Return, and the £8.50 Anytime Day Single, seem to be valid via Bromsgrove when the journey uses the direct trains between Bromsgrove and Ashchurch (one southbound at 1752, and two northbound at 0729 and 0805, Mondays to Fridays). At least, the East Coast website will give me itineraries for those via Bromsgrove journeys with those tickets. There are two direct Bromsgrove-Ashchurch trains each way on Saturdays (when the £9.10 Droitwich-Ashchurch Offpeak Day Return is also offered), but none on Sundays (so you can't use these tickets via Bromsgrove on Sundays).