Food would be the thing that gets him caught. Because as some point he has to eat. Now if he planned for this and has a stash of food somewhere it can take a minute to locate him.
If he is just on the run he probably will be caught by tonight because he has no where to sleep
All he's got to do is shave. This is fucking simple as shit.
For people with facial hair, cut your fucking beard and your mustache. For people with no facial hair, use good makeup and Prosthetics and or wigs.
You do that it doesn't matter if you go to fast food place number one or fast food place number two, no one's going to recognize you
You just have to look differently than you looked when the first known photograph of you was released. You don't need a baseball cap or sunglasses the way they do in the fucking movies. That makes you look more suspicious, especially when there's no fucking sun.
If cops were smart, which they're not, they would release a fabricated pic of him without facial hair. If they have one on file great, if they don't have one on file they can make one using AI. But they're not that fucking smart
This guy could literally be anywhere, especially if he was smart enough to have a backup car not tied to him or his name and registration. If he was smart enough to have a backup ID he could be in Ohio by now.
How I would do it? I would kill a working stiff and take his car. If I do it at his house, it would take a health and wellness check, which could take at least 6 to 48 hours. By then you could be in Illinois
Now I'm intelligent and an author so, give me credit for my intelligence over his. Hopefully, he's stupid