Without a Class 1 medical you cannot fly big jets or turbo-props commercially, so you do need to cross this hurdle before doing anything else, and it is sensible to at least try.
However, it sounds that you already have tried, but it does not sound very hopeful, since if I understand correctly, the CAA have already given you their (negative) answer. I am not sure how an appeal would go, and whether "throwing good money after bad" is worth it. Some vision faults are allowed to be corrected for a Class 1, but lack of binocular vision isn't one of them, as far as I know?
If your body cannot pass a Class 1, you will have try to find an aviation avenue that "scratches your itch" in other ways. The money you would have to spend on an ATPL and a type rating would go a very long way to chartering propellor twins for pleasure flying for example. And you would not have to go through all the commercial airline 0300 starts; 4-6 sector days; taking minimum fuel; and 6 days on, 2 days off; flying all weekends and Christmas day and all that nonsense. Trust me, it is no picnic any more.
Good luck
