Here are some updated Bincombe pictures.

As you can see it's got a white vertical antenna at the top, like at East Dundry Lane. I wonder if it's for BBC Radio Solent (and BBC Bristol at Dundry)? It looks too small for FM, but it would make sense as both stations are v-pol.

BBC R Solent has better coverage from this site than Wessex FM and it has been confirmed that the two services use different aerials.