Based upon the information provided, you do not appear eligible for any immigration benefits that would allow you employment authorization. You are not able to change or extend your status when you enter in the visa waiver program. You could not depart the United States to seek an appropriate visa as you would likely be denied a visa and/or barred from admission given your prior immigration history.
You would be able to seek employment authorization as an ancillary benefit to your green card process, but it sounds like you have yet to file. You may want to consider working with an attorney in this matter. You can read more about adjustment of status at http://myattorneyusa.com/immigrant-petition-andor-adjustment-of-status-in-the-absence-of-the-petitioning-spouse.
Answered on Feb 18th, 2016 at 4:33 PM