I am sorry OP, but it doesn't matter what your local authority's financial problems are, they are not your problem. Your DH is entitled to an assessment of his needs for care and support; and assuming the two of you have less than £23,250 in savings, etc, then his needs have to be met by Social Services. You need to decide what care realistically you are willing to provide, and keep bleating that to Social Services. By law, you are under no obligation to provide any care to another adult; and you can just say:
"I am not willing to provide any care."
You don't have to explain why. Then the council has to meet all his needs, subject as above to the financial assessment.
Whatever you are prepared to do, you should ask for a carer's assessment, because you are entitled to respite (although its assessed on him), and time to yourself for work, education, other family relationships and medical appointments.
As his problems sound like they are due to a medical problem, then he should be assessed for continuing health care funding (CHC). This is for people, whose care needs arise from a primary health problem. Lots of people will come on here and tell you, CHC is only for health needs, not social care needs - this is not true! If he is unable to dress himself, because of his back, then that need arises from the primary health problem. (I have a DD in her 20s with CHC, and the CCG funds all her care such as getting dressed, washed, personal hygiene, going to the toilet, you name it. We got 56 hours of care for her in our house, which is what we wanted; and when we couldn't cope anymore; she gets 1:1 care all her waking hours, and 1:4 at night, in a care home.)
As the NHS is free at the point of use, unlike social care, there is no financial assessment; and DH won't have to pay any of his benefits over to SS towards his social care. He will get to keep all his benefits.
Look up the Assessment Framework for CHC funding on Google, and put a request in to your local CCG. They have to do a checklist to assess his needs.
If they say, while he has medical problems x,y,z; but he does not meet the threshold for CHC, point to the Pam Coughlan case - a woman, who was in a wheelchair, after an accident iirc, who did not meet the thresholds individually; but the judge said her needs had to be looked at in their entirety, and awarded her CHC.