If you are going to the US for your recurrent training, try and hook up with ALL ATPS and sit the exam. Its an all day affair. But at the end of the day, you write the exam and pass. Where I was the guys were very helpful. Its self paced so you come and go as you please, but dont waste time, you'll soon realize how fast time flies. Bring a lunch with you, it will allow you to continue to study while you eat.
Then, once you pass, arrange with the training center to make sure they give you your ATP ride at the same as your a/c type. Your PPC in the sim will meet the requirements for the ATP so you'll basically be killing 2 birds with one stone.
Submit papers to FSDO office, get license in mail.
Dont forget to get you Radio License as well! Everyone seems to forget that bit! Its an online exercise. Cost $60 if memory serves correctly. No test, no submitting proof you even know how to talk on the radio or a radio license from another CAA. Seems ridiculous, but that is the way it works.
Good luck.