Have you thought about travelling a bit further to a better diabetes clinic? I have never attended a clinic near to where I live. Initially, on being diagnosed I went private, I was then referred to a friend of my private doctor on the NHS who happened to be at a hispital near to where I worked. Years later I moved to the other end of the country & asked my consultant if he could recommend a good clinic in my new area. He suggested one & when I moved, I went to my new GP & asked for a referral. The new GP was unimpressed & said that they had perfectly good diabetes care in house, but I was firm, knew that the choice was mine & he referred me. The clinic is in the next-door health authority, but as it's a big hospital & pump centre, they are quite used to making inter-authority requests for pump funding.
I didn't want to go onto a pump but my control was very erratic so they encouraged me to do so. I am happy with it now but it hasn't been the panacea they promised.
NICE guidelines on pumps are clear: an hba1c of over 8.5 ( or 8.3?) and/or frequent hypos which affect quality of life. If you meet the criteria & your doctor considers that it would be beneficial, they MUST fund one, but I believe that it's easier said than done in some areas. The advice by others is good, find a pump friendly clinic & you'll have a much higher chance of getting a pump. My clinic even eventually agreed to fund a pump for a friend of mune who is type 2 (NICE do not recommend pumps for type 2s at all) after his privately funded pump failed & his control significantly worsened as a result.
Good luck.