Its ok asking for forgiveness than go for permission however, being blatent is certainly asking for trouble.
My original plan for considering both an EV and charging at home, was based on a c.20m lead and the assumption of the car being parked where you currently park now.
Having looked at the pictures you uploaded, my advice would be a granny lead run on the narrow strip of grass where the hedge is, down to the car, with the D Line cable cover taking the cable across the pavement, which along with the roadway will be adopted by local highways dept. Based on the D Line cable cover literature stating it meets the highways act 1980 with the inclusive cable warning triangle, you could act dumb and therefore ask for forgiveness if local highways picked you up on using it without asking permission first. You are also drawing less attention to yourself!
Of course you could also be upfront and email the D Line literature to the relevant LA department, explaing the what it is, the specs yourself and asking permission to be granted. If you are granted permission, you have no worries charging at home. If on the otherhand you are not granted permission or are ever pulled up using it without asking, the cost and inconvenience of running an EV will outweigh that of an hybrid say, to which I would also agree with Mark.
You could also show the literature ask your local MP to back you and write to the LA, he/she might also have more clout with 2 row slab off road parking, given your classed as disabled.