Sleazy flies to STN and Edinburgh, not BHX (like she said).
Look out for LH deals to BHX, I usually pay 108€ inc all taxes rtn by picking my flight dates well, as I fly there quite a bit to see my sister. Keep an eye out on the LH deals, BHX often comes up.
If you get to STN, you can use rail to get to the Midlands, that train goes via Nuneaton. The service isn't bad at all.
Alternatively, you can fly to LHR and get the
Chiltern Railways train from Marlyebone to Stratford?
It's Moor St. Station for Stratford trains.
And Stratford has a
Lakeland Plastics therefore is worth a visit for that alone.
Remember to type Stratford upon Avon into train timetables, otherwise you could end up in Stratford, East London.