We do road trips to Chicago from NC a lot, so it's two days of potential fast food binging. I pack lots of snacks that either need no refrigeration or can go into a cooler (you can get ice anywhere) and we plot out restaurants we can stop at along the way. I check out their menus online and stick to healthy choices. Freeze some bottles of water, it keeps it cool for a while in this godawful heat.
Don't worry what people think, they don't do it very often.