@Tollochgorum has a lot of great ideas/suggestions, but I'd like to add on a few points.
Depending on how serious you are about covering this ground quickly, I'd scrap the tent/tarp and replace it with a waterproof Bivy Sack. Having used this in the military for extended overnight hikes, it worked great. Simply hike/walk until you're too tired, plop it down in a small clearing next to the trail, go to sleep and start again the next day. These have the added benefit of being able to house a sleeping bag within the Bivy Sack, which ensures that you and your sleeping bag don't get wet.
As a few of your other posts/questions recently have hinted at, using this method you, with an adequate light source, you could also conceivably hike well into the night. This would expand the amount of time during the day that you'd be able to hike/walk.
Beyond bringing only high calorie based food, you might want to keep the amount of foods that you'll need a heater to cook to a minimum. Time spent prepping food or waiting for water to boil is time you're not moving or resting, which should be the only two things you're focusing on, if completing this quickly is your goal.
I'd scrap any ideas of catching/hunting game along the trail. Besides the extra weight for the tools to catch anything you'd want to eat, you'd also have to bring tools to clean and dispose of the animal properly. This extra weight would deter me from ever doing this, if you're looking to cover ground quickly. 4lbs for a rifle is 4lbs of food you're not able to bring. 4 lbs of Oatmeal or protein powder is a ton of calories, which you'll need to keep up the pace.
Not to mention that any time you spend looking/hunting/fishing for food is time you're not moving closer to your goal. While it sounds neat, in practice, unless you're a very skilled hunter, this type of foraging is better for trips where you have a base camp and plenty of leisure time.
Also, you'd have to add in the time you would have to spend gutting the animal and digging a hole to bury the entrails or otherwise stash them. If you're practicing "leave no trace" you might also have to pack out the carcass and entrails after you eat the animal.
In other words, if completing this trek as quickly as possible is your true goal, forsake all other endeavors or distractions which might slow you down.