You're very lucky to be able to work in the US and Europe, my advice would be to start the EASA ATPL exams immediately. It's a great time to start on both sides of the pond, I know loads of people who got big jet jobs straight out of flight school - and once you've got the exams, you're only about 4 weeks away from an EASA licence. Carry on what you're doing - if you don't get a European job straight away, then you're still only 400 hours from the regionals. Once you have 500 hours on a type, you can skip the EASA type rating course as well.