May be wrong, here ... but - unlike if you were at the stage of applying for a Spousal Visa - I don't [think] they can refuse you ILR simply on the grounds that your husband is unemployed through no fault of his own.

And bear in mind that it's HE - and not YOU - that is receiving Public Funds by way of Jobseekers' Allowance and/or *Income Support (if such an *allowance still exists!). Understandable ... otherwise how else could you afford to survive as a family unit!?
I believe, though, it might be advisable for your husband to retain copies of letters &c., relating to job applications - as evidence that he IS, in fact, actively LOOKING for work. And yes ... your bank savings SHOULD count too.
