The only time the military will ship your vehicle in a CONUS location is if you have 2 vehicles and it is cheaper to ship it than it is to pay MALT and Per Diem for you driving it there. If it is your only vehicle then the military will not pay for shipping you will have ot pay for it yourself.
The military will NOT ship any vehilce CONUS. You can either drive it yourself or pay a transport company to move it and you pay for it out of pocket. The military will not pay for plane tickets either. They fully expect you to drive your own vehicle if you want to have it.
I know it's hard with a little one. i drove from Colorado to Florida with a 9 month old..no fun but sometimes you have to do what you have to do!
they will only ship conus if there is not enough time to drive there according to the soldiers report date or if its medically necessary.. they will NOT do it if you have 2 cars