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No doubt there will be a covenant in your Deeds to say you can't obstruct the road. However, on a practical level, the only action your neighbours could take would be to apply to Court for an injunction against you- to prevent you from continually blocking the road. In reality, this isn't going to happen as it will cost them £1,000's.
As it is a private road, no action can be taken by any other parties or body, including the Police.
I would suggest that you mention the possible disruption to your neighbours, as "a good neigbour".
I hope this helps and sets out the legal position.