HARD BADGE VARIATION (Easier) - On Day 2 buy gun and two ammo, Buy Boost and 2 fuel. This should take you all the way to the boxes +/-950'. Day 3 - max out boost and buy ammo with leftover.
My tips for hard badge (should be impossible) Upgrades 0, 1, 1, 2, 3, 4 and 1 adrenaline shot. Use brakes when going off a jump, with a jump right behind vehicle, or when swerving hard. This will help you not take damage by getting rammed from behind. Never use your brakes with cops behind you and a barrier or spike strip right in front if at all avoidable. Avoid henchman like the plague. Take down helicopters as often as possible. That gets you traveling fast and far. Use adrenaline jumps over tricky areas with cop cars at your back. Speed up and press right arrow, than brake hard to keep cop cars in front of you. Hit water if you can, but don't try to hit water if it makes you travel in front of cop cars. After using an adrenaline shot keep speed up until cop cars show back up. It is very hard to get this badge, but it is doable once you get your technique down. I went from averaging 4-5 miles a play for 50 attempts, to over 7 for a couple of tries, than finally eight.
If you are having trouble with the game restarting without going to the stat screen when you die, here is the work-around. Hit spacebar to start your game, then hit spacebar again when the game starts.
 "Earn to Die"){kind=icon}
 "Save Toshi"){kind=icon}
 "The Soul Driver"){kind=icon}
 "ShellShock Live"){kind=icon}
 "Formula Racer"){kind=icon}
 "Roadkill Revenge"){kind=icon}
 "Love"){kind=icon}