If I were you I'd go down the A level route to keep yourself busy for a year and apply again in the spring. I am doing an apprentiship with an MRO and have A levels, another guy has a uni degree. If you're thinking of sitting some license modules or taking a 147 approved course this may count against you being too qualified for an apprentiship, I know of a few guys who had 3-4 modules turned down for an apprentiship.
Don't be downbeat if they don't take you, just keep trying - third time lucky for me. The other option you will see is self-study and getting all your modules done and then waiting for experience that never comes, even if you work for free. Just hold out and try for an apprentiship that will give you all you need and you'll be paid at the same time!
Best of luck whatever you do.