

Unless Arch’s lts kernel switches to a newer lts (in a year or two?), you can run nvidia 580 dkms modules and the lts kernel with basically no maintenance.
After that, you can consider something like linux-lts66 from AUR, or switch to another distro if desired. The first option requires compiling the kernel (no maintenance, just processor time), and will keep your system security patched until the last LTS kernel supported by nvidia 580 modules stops being supported.
Whatever kernel you choose, ensure you have the -headers, like linux-lts-headers. That way, the nvidia-580xx-dkms package can install properly.
If you haven’t yet, look into an AUR helper like yay or paru. These significantly improve quality of life when using AUR packages.

As long as you use an AUR helper to update your system (replace
pacman -Syuwithyay -Syu), and keep the kernel EOLs in your calendar, it shouldn’t be constant babysitting. Updating a (non-bin) kernel from the AUR requires compiling the kernel, which makes updates take way longer, but doesn’t require extra manual maintenance.You can find when a kernel is EOL on kernel.org. When your chosen LTS goes out of support, you should update (for security reasons). You’ll have to hope the 580 nvidia drivers still support the newer kernel version you move to.
This path allows you to run your setup for as long as possible on Arch, when you run into issues with nvidia support, so does every other distro.