As a former pregnant woman and mama...I can relate to your situation on many levels. I've totally been there financially! Cutting out 6-8 months of prenatals for just the birth at the end of the pregnancy seems so logical. Let insurance foot the bill for prenatals and just have a midwife for the birth that's over in a day. (usually). But, as a student midwife, I know firsthand the real work is in the birth and afterwards, and the mothers that have come on board later can often be more work than those that started care early on. Prenatals are all geared toward maintaining a pregnancy optimal for birth. We are much more diligent in making sure nutrition is balanced, all the supplies needed for birth are at hand...we also look at body work which can help optimize birth...details often not seen or taken care of by other health care professionals...we usually have to see late oncoming clients more than we would other clients, to help build and establish relationship with them, the unborn and them with us as well. Things that they may blow off as non important, or less important, may be very important to us, and the way we may handle certain lab results etc may be a totally different protocol than they would, resulting in an imminent birth that has not been "set up" over 6-8 months of care the way we would normally care for our pregnant mamas and prepare them for a birth with our practice. And...the liability and responsibility we carry is ultimately the same, as well as time, supplies etc. That being said, we also are willing to accept payments and work with mothers on the financial aspect of pregnancy and birth.
I know this isn't the same for everyone everywhere, just thought I would add a different perspective on the situation and hopefully help you feel encouraged to call around and ask! I used to feel the same way you do, and it's taken me being a student to fully understand how it all works. The midwife I am a student under was (of course) my own midwife once, long before I became her student. I believe her words to me during my first contact phone call were "I'd hate to see you not have a homebirth because of your insurance not covering, let's get together and see what we can work out..." Perhaps you can find someone willing to do the same, or offer a military discount, even bartering is not unheard of! I just want to encourage you to not give up, keep asking around and be open!
I am one who also believes it is possible to have a nice hospital birth if that truly is your only option. I hope you don't have to go that route, only because you really want a home birth..but know that nice hospital births do happen too!
I hope you are able to find the path to a birth that makes your heart sing with joy! Best wishes mama!