Got it working, thanks Jakson! This plugin looks great!
I had already set tmux and ".sh" files to open in iTerm-- I didn't realize, but it's also possible to set iTerm as the default app for files with no extension. (For future readers-- Go to Default Apps in System Preferences, find iTerm under Apps, and check "public.unix-executable" under UTIs and hit "Set As Default").
I had already tried your other solution-- start tmux before vim-- but unfortunately that's not quite ideal. Among other things, the panes do not operate the same way as iTerm panes, and it completely ignores my vim color preferences. It is functional though.
Cheers