Divorcing with a Vehicle Payment in My Name. What Should I Do

I've been wanting to sell our vehicle (2012 Yukon) that has a major impact on our finances for some time now. It's in my name and I still owe $16k and it's worth $14k. My wife has her own vehicle (Mazda CX7 Paid Off) but stopped driving it because of an airbag recall which has been fixed ...but now she refuses to drive it because the Yukon is nicer, She pretty much hijacked it. Being that she takes our daughter to school I don't mind for that aspect.

Now that we are about to start the divorce process I'm wondering if a court would grant her ownership of if for some reason. It's in my name and I am the sole $ provider in the family.

We live in Georgia and she wants to move back to Texas (home) with our daughter.

Should I just sell it before I file?

Divorcing with a Vehicle Payment in My Name. What Should I Do