There are a few things to address here. Travis Cobb's guide is awesome and has all the answers, but there are a couple of obvious things people on here can tell you without having to go through the massively impressive FA guide.
1. Most students will be in the same boat as you and almost all will NOT have to take out private loans. The larger chunk of the loan (~$44k as Marrowist mentioned) will be unsubsidized and does NOT depend on credit. You must also apply for GRAD Plus loans, which have a slightly higher interest rate, but will cover the remaining ~$30k or less of the total cost of tuition. For most students, this is more than enough and if you are smart about it you wont have to accept nearly the full amount (each dollar you don't take out now will be a larger amount (one dollar plus the interest it accrues over the lifespan of the loan) of money you save down the line. GRAD Plus loans ARE credit-dependent but if you qualify for a private loan, you will qualify for a grad plus loan. Make a solid budget and you should be able to accept several thousand less than the full amount. The students who find, even after the complete cost of attendance is covered by the gov't loan, they need more (e.g. sole provider for a 4-person family, etc.) then and only then should a private loan be considered.
2. Military medicine is a whole other category. It's not quite financial assistance. It's payment for training in exchange for service. As discussed ad nauseum on these boards, it should not be viewed from a financial perspective until one is definitely certain he/she knows what the military contract entails and if he/she has a desire to serve in the armed forces. Some say the 'payback' of the military "loan" is far more steep than a simple financial loan from the gov't or a lendor. Depending on your eventual medical specialty, it may even end up costing you hundreds of thousands of dollars (even millions.... that's you orthopedic surgeons and similarly compensated specialties). It's not nearly as simple as presented by longboarder (no offense intended). Military medicine is a huge commitment made before most even know what it will entail or what type of medicine they want to do... unfortunately I think that the military realizes this and gets a lot of commitments from people who end up later regretting it and most doctors who find out what military medicine entails by and large say that the gov't got the better end of the deal even with tuition coverage, stipend, bonus, etc.