I do not honestly see how in all conscience a PCT can authorise the prescribing of Sharps bins unless there are disposal methods also available. yes they will say it isn't their responsibility; the Council will walk away. So what next?
Involve your local Town Councillor, that's what. If that doesn't work, next one, the Leader of the Council. Next is your MP.
It may be useful to ask/find out how many diabetics there are in your twn - there's enough statistics published to get that info - try the National Diabetes Audit figures - so you can say eg
There are about 20,000 diabetics in Little Pithering. About half of them use either insulin or another injectable drug ..... so that's 10,000 people - many of them elderly, some of them children - that the Council refuses to help and take responsibility for. Do we not all pay our Council Tax, business rates, your expenses, their wages ....
Don't think you need any help on that score really, righteous indignation Rules OK !