It's not easy but it can be done. My consultant applied to the local Exceptional Funding panel with my case history. They refused initially but agreed after just one appeal. Took about 6 months in total.
I have zero awareness of hypos and this has caused many problems over several years - serious injury to myself at home while fitting, and more than one car accident. Although variable, I can get down to about 1.7 mmol/l without feeling any side effect, and often it's too late. The flipside of this is my bg level can rocket (eg hypo-induced liver dump) into the 20s and I'm equally unaware. CGM means I can set an alarm level to prompt me to do something before I get into dangerous territory, both high and low. It doesn't catch all hypos, but I can prevent the majority which is just such a relief.
I went into some detail about my experiences with/without CGM in a supporting letter which was presented to the panel as part of the case. But the support of my consultant was key in securing this funding, without his efforts I would not have succeeded.
Good luck!