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It is unlikely that you will get this taken care of in a week unless you get an attorney involved. I would contact a criminal defense attorney in the town where the warrant is out of and explain the situation. The attorney can then approach the judge in chambers and explain and likely get the judge to recall the warrant and convert it to a summons. The attorney can then get it on the docket and appear on your behalf with the proper authorization to address the charge so you wouldn't have to appear.
What size city/town is the warrant out of? This would help determine how often they have court.
I would go in Wed morning then. They will either arraign you Wed or Thursday and you can enter a plea at that time. I would make sure they know you are to be deployed, have some paperwork and you may get it dismissed since you are going off to serve your country.
Thank you for your service.