> local script [...] nohup [...] redirect output to a file

  mosh hostname -- screen -S philsnow

I don't think I've had to use this over a truly terrible connection, but mosh worked a treat a ~decade ago while tunneling through DNS from a cruise ship that charged exorbitant rates for wifi while underway, but which allowed unlimited DNS traffic.

> It works if you don't make any typos

mosh helps a bit with that too: you get local predictive echo of your keystrokes and you can't "recall" keystrokes but you can queue up backspaces to cover up your typos. Doesn't help where a single typo-ed keystroke is a hotkey that does something you didn't want, though.