The remedy is with the Information Commissioner. You must have the ability to put a request in, and if your request comes as part of a pattern in a given department on a given subject with a given number of requests, then the Information Commissioner should have the ability to say she's going to be investigating this as a systemic complaint—that this subject or this department or the request from a specific user appears to be targeted for an absence of service.
I would expect the Information Commissioner to have the capacity, in fact, to react—not all the time, but react when such a need manifests itself—and be able to allocate some investigative resources or try to get to the bottom of it in defence of the reputation of the access regime, and also of your access rights.
However, at the moment, if you have the audacity to put in a complaint to the Information Commissioner, you'll have to line up and wait two years or more before you have an answer, whether or not your request is founded and whether or not it has been turned down or not addressed because it has been deemed to be vexatious.