I’m a male soldier and am engaged with a child coming soon. Will I still receive BAH for that child without being married yet?

Depends who custody. Sounds like things are good with Mom, so likely you will. If you are engaged and she is pregnant, why are you holding off the wedding? If you already have plans to marry, do it, and get her the DOD your spouse would deserve.

As long as the child is enrolled in DEERS, yes

Why not just get married and have a wedding later that way she can be receiving the benefits and you can be getting the extra money now!!