Op, I worked in Debt Recovery and Mortgage Debt Recovery, for many, many years. So, I have a few bits of advice/info for you.
Banks DO NOT want to evict people. Especially if there are children, vulnerable people or elderly folk in the house. My role at one point, was Executive Assistant to the Head of Debt Recovery for one of the Big banks. We evicted about 2 customers a day. All evictions had to be signed off by him, and he would make sure that the Bank had explored all avenues for the customer to keep their home. In all cases, the Bank would have tried to re-negotiate with the Customer, to make their payments more affordable. This would involve moving them on to an interest free mortgage and extending the term until the customer was 70 years old. So generally, the customers evicted tended to be the ones who wouldn't talk to the Bank, or sadly were almost 70 years old, and there just wasn't the scope there to extend the term.
You could try to speak with your Mortgage provider and explain your situation. The thing is though, if you haven't missed any payments, the staff you speak to probably won't have any authority to change your mortgage product radically.
So, I think you have 2 options. When you take a new product in May, you could change the term so it takes you to 70. Or, you could simply default now, and let matters take their course. Eventually your Mortgage will end up with the Debt Recovery arm of the Bank, which will mean you will be dealt with by staff who have the power to grant payment breaks/reduce the interest rate/lengthen the term.
Regarding the Credit Card debt, remember, this is Unsecured. In other words, they have very little to come after you with (unlike a Mortgage, which is secured against your property, which they could force you to sell). If however you default on this, and it goes to debt recovery, they can obtain a CCJ against you, and then go for your house. They's only do this, if the debt was substantial.
I'd recommend considering an IVA (if you are in England) or a Trust Deed (if you are in Scotland). This is not a bankruptcy. However, it is very similar, without the stigma. You would have to use a Company (like KPMG) to negotiate with all of your creditors, to only pay a fraction of your debt and the rest is written off. Generally, if you can repay 10p in the £1, the agreement is accepted by all. Your home is NOT at risk if you opt for one of these. It's not even in the equation. You simply provide an Income and Expenditure plan to (say) KPMG, which shows that you can only afford to repay 10p for every £1, and they do the rest.
Of course you still need your DP to get a job! As a PP said, he needs to sign on for Job Seekers Allowance, because then he will get £73.10 per week, which will go a long way right now (!) and he will have to meet with them every fortnight, to prove that he's been job hunting. They will really push him hard on this.
Finally, I am going to PM you an idea for working from home.