New Testament History
New Testament history is ancient history, so you can touch on it within ancient history.
religion history will get you absolutely nowhere in the world. literally nowhere. Ancient history isnt much better but because its a more encompassing topic it gives you a better range to work with
It depends heavily on what you want to get a job in, but Ancient History has a bigger variety of job opportunities.
Get in with your life in the better world
I personally feel that the New Testament will be better for you to invest your time in.