I’m going to turn the question around slightly; OP – what do you actually want as your ideal outcome, and how reasonable do you think that is?
– Noisy work to only be carried out within permitted hours? Perfectly reasonable, if they’re not abiding by that already.
– Reduction in noise levels of construction work? Not going to happen, the methods being used will already have been approved by the council.
– Being moved to alternate accommodation for the entire duration of the works? Not going to happen, in fact I’d say you were lucky to be moved during the piling. If you were a homeowner rather than housing association tenant you wouldn’t have had the choice other than to relocate temporarily at your own expense.
– Construction to be cancelled entirely? Yeah, no.