Well, you need to get rid of the conviction so that they cannot deport you because of it. You have generally the following options:
1) Get a full and unconditional governor's or U.S. Presidential pardon for the crimes.
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 deport you. Unfortunately, sealing or expunging the conviction does not work.
I would NOT file for U.S. Citizenship unless you have success with one of those things. It does not make since to be deported just because you need to travel for work. Better to find a different job and be safe in the U.S. than deported and stuck outside.
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