Yes the aid offers are nice, but please do your family a favor. Accept the full ride. Graduate debt free, and take the financial strain off of them.
70k saved IS a significant amount of money. That is what your family earns each year, and is more than half of what they have in savings. Not spending that money now to help pay for your education could mean that their savings can grow a bit. And perhaps when you do get to med school they will be able to chip in a bit for some of those costs.