Wingnaprayer
Your problem may be that your GOOD eye surpasses 20/20 (6/6) vision - ask your optician/optometrist what vision it actually obtains. If indeed it IS better than 6/6, then try one of the following:
Get your bad eye corrected not to 6/6, but to match your other eye, and see if your brain can 'fuse' the vision to achieve binocularity. Or, wear a +lense in the good eye to bring it DOWN to 6/6, and the appropriate refraction in the other eye.
I can't quite remember the unequal refraction limits given by the CAA, so firstly, make sure that your CORRECTED vision does not exceed these.
As to the question of my having obtained a class 1 - not yet, but I'm due to have one shortly, I've already ascertained that my unequal refractive errors don't go over the limits, (few months ago).
Again, if both the above do not work, try the weaker contact lense, and build up; its' not such a shock to the brain, but MAY kickstart it into recognising vision from your weak eye, and lead to binocularity, IF your amblyopia is of the type that can ultimately be corrected.
Best of luck
FD (apologies for the long post)