Unfortunately, I have some bad news for you. Take a look at this article:
It looks like your case is still considered a conviction for immigration purposes. And a conviction for domestic violence, even though it was simple assault, will get you deported from the U.S. Obviously, you cannot get U.S. Citizenship with this on your record because it will trigger removal proceedings if you apply. Travel outside of the U.S. and renewing your green card will also trigger removal proceedings. So what you need to do at this point is with the time you have, try one of the following to take care of the conviction:
1) Get a full and unconditional governor's or U.S. Presidential pardon for the crime.
2) Hire a VERY good criminal attorney to look into the possibility of reopening your criminal case because something was done incorrectly at the criminal level. If the case can be reopened, then the conviction needs to be vacated (set aside) and then you would need an agreement from the prosecutor not to prosecute you again (which they can do). You can try looking for an attorney at www.ailalawyer.com.
3) Convince the majority of the U.S. Congress to change the law or to make a law of special application only for you called a Private Bill.
These options essentially would eliminate the conviction so that Immigration cannot use it against you to keep you out. Unfortunately, sealing or expunging the conviction does not work.
4) IF you became a U.S. Lawful Permanent Resident while inside the U.S. AND you have a U.S. Citizen or U.S. Lawful Permanent Resident spouse or son or daughter that would suffer EXTREME HARDSHIP if you are deported, then you MIGHT stand a chance to not be deported and get Residency again.
So do not travel, do not renew, and do not apply for U.S. Citizen but try to do something about that conviction.
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