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A lot late for a response I know, I had the exact same problem with some nightmare neighbours. After calling the local fuzz they advised that if you can hear the music outside the house after about ten pm it's a noise complaint issue and they can and should advise the scumbags to turn it down. They advised to report every incident which can be used as a basis for an asbo and eventually, if they rent, eviction. It took my estate 3 years to get rid of the neighbours and it wasn't just music. We had domestic violence in the street, drug use, burglary and my all time favourite.... 2 drunk smack heads screwing in the riot van after being lifted for trying to kill each other in someone else's garden.
Edited when I realised I replied to a comment from months ago when I clicked the wrong page.
I ride through that every day...if you use the shared use path to the left on your picture then you should have no problems with cars; likewise the segregated cycle lane in the opposite direction. It's a bit baffling that they should put up so many signs telling drivers what to do but then not really give a shit about enforcing it, especially on a blind rise like this bridge, which becomes really dangerous at the speed a lot of drivers like to drive at!
With regards to council enforcement versus police enforcement...last summer a house opposite mine had a VERY loud party...no problem in the evening, it was a weekend, fair enough. Then the music continued beyond midnight until about 3am, at which point we called the police about it (grumpy old farts etc.). They drove by the house and told us that they couldn't do anything about it as the people having the party were indoors and not on the street, therefore it was the council who should enforce the noise complaint. Looked online for a number for the council; called it; offices closed until Monday. Useless. Went back to bed, and eventually got to sleep.