Virginmedia do not do overhead installs, the cable has to come down the trunking to the access point in the path from the green cabinet, and then to the property, from what you have said the trunking is blocked hence the dig needs to happen.
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The longer story is a virgin team attended my home, realized they couldn't pull cable to my home as it was commercial (before my time) its now residential, and didn't have a previous connection. They did say its possible to do an overhead (wall mounted) install from a neighboring residential property of which we have permission from the owner. In your experience is this possible?