You may be able to put that through as self-employed, depends if you sell enough stuff year-round.
CI is tricky to know because you have to invest in the sugery and everything to know if it's going to work, but hearing aids if you want to try them then they are pretty easy to go and try, and you will get all or most of your money back if they don't suit you.
I'd say look for auditory rehabilitation materials too. There tends to be more of it on CI sites than hearing aid sites, but things like the MedEl and Cochlear websites have auditory discrimination games on them. Whether you go with hearing aids or CI you stand a better chance of maximising your potential with them if you invest the time in auditory retraining. You might find that if you can hear some vowel sounds then putting that together with lipreading makes a massive difference. I find too often with hearing aids it's a case of there you go, strap them on, you'll start hearing now. I had years of auditory deprivation to make up for and I needed to make a concentrated effort to figure out what sounds were. I did my AD training again last night for a new hearing aid and was impressed to find I can now tell the difference between the thunder, applause, newspaper scrunching, rain and vehicle noise. I thought they were all the same before! I was used to listening very vaguely to a very small palette of sounds, so working out what subtle things are different about them was tricky at first.