On Cygwin, I want a Bash script to:
I prefer to launch a new shell for separate tasks and I often use the following command combination:
$ sudo bash; exit
or sometimes:
$ : > sensitive-temporary-data.txt; bash; rm -f sensitive-temporary-data.txt; exit
These commands create a nested shell where I can do all my work; when I'm finished I hit CTRL-D and the parent shell cleans up and exits as well. You could easily throw bash; into your ssh tunnel script just before the kill part so that when you log out of the nested shell your tunnel will be closed:
#!/bin/bash
ssh -nNT ... &
PID=$!
bash
kill $PID