I don't know about this firsthand, but there is something called Operation Special Delivery that provides free doulas for women whose husbands are deployed. There is a link in the FAQ for this board.
If a family member or friend can come help you out for a couple of weeks, that would give you time to rest and heal.
Some moms also bake freezer meals ahead of time to avoid cooking, but still be able to eat nutritious meals. I didn't do this because people from our church brought us food, but if I was going to be alone, I probably would plan ahead.
If you don't have any close friends where you live, make an effort to find some - I intentionally made friends with the other pregnant ladies (a few months ahead of me) at the few spouse get-togethers we had, and they were very helpful and supportive, and after our LOs were born, we did playgroups.
If you can take pregnancy/new parent classes on base, that might be a good place to meet people.
And you didn't say what branch, but I believe all of them have new parent support programs. I didn't use the one here, but some of them will actually send someone to check on you and make sure you're okay. There are usually quite a few resources on base, so look into those and take advantage of them.
My husband deployed a month after DS was born, and I simply moved back to live with my family. Since they live in a military town with a military hospital, I probably would have gone back for the birth if DH had left before the birth. It wasn't ideal, but I had a lot of help when I needed it.