Carol.
If you won't be on assignment, and you can think you can manage it without unnecessarily burning any bridges, then I'm all for it. If SHIELD calls you back, however, and we're not in the middle of a fight with a dragon, it would be best that you returned. This is primarily an exploratory mission, which may or may not turn up anything useful. I just don't want to burn any bridges unless we have no choice.
Borrowing a jet won't be a problem. This is Stark-funded.