You might want to speak to a criminal defense attorney in St. Louis familiar with the MO procedures for expunging misdemeanor convictions, if there are any. It may be that you can ask a MO court to vacate or expunge your convictions which, if successful, would remove the convictions from your criminal history.
You should also speak with an attorney in the Seattle area familiar with banking law. That person should be able to tell you if it is possible to get the sort of job you want and if so, how.
I suggest you contact the attorney who represented you on the theft charges in Missouri. Ask that attorney if you are able to get the convictions vacated or dismissed due to satisying all of your probation requirements early. Best of luck to you.