Bemused, hi
Being self funding can be a really positive situation as it means that you are in control of what happens. Have you contacted any local care agencies to see what they have to offer, if you like them, trust them and feel that you can work with them, it's not an easy process but I found one agency who employed a great carer, a young man who was lovely with hubby, really caring and very happy to do whatever hubby wanted or needed to give me a break.
Good luck in your search, day care centers are also out there but need vetting to make sure that they have the right staffing and facilities.
Being on the register for emergency respite is wonderful, if or when you need it you have got the paperwork in place already.
I hope that they mistakes on the assessment are put right soon and you can find the support and help that you need to make life much better for you both.
With best wishes from Jo