Send in applications to any and all regionals that you may want to fly with. Being that you have good quality time in jet aircraft, you will more than meet their requirements, time wise. Be sure… they will ask you about your European flying experience, and probably will wonder if you would go back. You will need to be prepared to answer that particular question.

Try to obtain copies of all of your training records. While they will write to your current employer for those records, at least you can offer your copy to the ball rolling. Try to obtain some form of verification of your airman certificate, and record of no certificate action against you in the country you are certified.

Good luck