Im unsure how its possible for coordinate towers to stop working this fast for you, since my first tower went out at day 9 only, while another lasted with one fuse up to day 11 until i decided to put more fuses inside. Perhaps its a difficulty setting? I was on normal the whole playthrough.
you can find up to 3 fuses in the base (2nd floor, storage room, near sleep quarters, where the elevator goes up from the garage) hidden in trash. Maybe more around the base if you clean up more.
As some mentioned before, you can craft fuses if you didnt sell all your trash. Copper wire is in some file cabinets around the base, while you will also need electronic, glass and metal scrap to craft it. So the price goes from 50 to 0 if you look hard enough.
The ATV will use battery if you are constantly gasing it. Letting it roll from a hill will use significantly less battery, while using 0 fuel.
Edit: forgot to mention that the car battery can be charged with a metal coil on top of a transformer, where the wires go from. You would need mittens to even put the car battery on them though, or a few hooks to hold it in place and charge it. mittens along with hooks do add up to a 200 (1 mittens, 2 hooks, one for not letting the battery fly as you pick up the hook, and the other on the coil to hold it in place, you can tighten the hook on the coil so it wouldnt fly off). Takes a while to charge it fully, but it works, and it is free if you dont mind getting electrocuted.
Tip: you take out the car battery out of the ATV with a wrench.
The game is still pretty much in early developement, although i do hope they add coordinate towers in the map, along with explanations (and in the tutorial) that coordinate towers exist, and that you need to maintain them.