Not want you want to hear Alex, but as others have said, I would reconsider going for it. You don't have to pass the medical once, it is going to be evert year, and 100% binocular vision is a must.
I would go to an eye specialist and try to find the reason why. If it does not change, yeah one day maybe you will get the OK from the CAA... for 12 months.
Having a medical condition threatening your medical every year is extremely stressful and it is not good for you or for your career.
"Investing" in training in your case is extremely risky.
You can fly on a class 2 medical. Do so. Try to fix the problem in the meantime, and then go back for it. Consider laser treatment, I would do it personally.