If I were in your shoes, I would start with FAR and study while waiting for them to approve and send your NTS. Why? Because FAR has the most material and it will take you a while before you get through it all and review.
2 month just for BEC is a bit too much IMO. Jeff recommends about 4-5 weeks for BEC and that includes learning the material and reviewing it. It took me 18 days to pass and a total of 90hrs. 24-25 hrs of lecture watching and going over end of chapter question on CPAexcel and the rest on Ninja MCQ.
If you're dead set on BEC, then I suggest you don't wait and start now. It's better to over prepare than underprepared.