Bring your own screen, keyboard, and power supply. Continuum is a weird beast, I'm not exactly sure who would get something out of it even if app support was good.
If the phone hardware was more powerful, and the win32 app support was there, it could replace your PC. You'd have a USB-C dock, with keyboard, screen and mouse, into which you plug your phone. Your phone is your PC, and when you leave you take it with you along with all your files and all your software.
You could combine it with something like a nexdock to also turn it into a laptop. Would be cheaper than getting a phone, and a desktop pc and a laptop, and it would avoid all those nasty issues with keeping devices in sync.
The qualcomm 820 already performed at core m levels, and the 835 is 25% faster, so it should be fine if paired with enough ram and storage.