As someone who is ahead of you in this regard, let me tell you that there is no such thing as an "easy-ish" engineering job. Go look at job ads for engineering on something like Monster, Indeed, Dice, whatever. Look at the requirements. Those are things you are not likely to know as a physics major.
There are non-engineering engineering jobs, like "sales engineering" or "test engineering", stuff that takes "engineering" to mean "we need someone smart to make things happen". You might have a better shot at that, since the requirements tend not to be as strict.
Programming is a choice. Those are the only interviews I've actually gotten so far. Depends on how well you can program, though. In my education I learned programming on the side while doing undergrad research. I didn't really take any classes in it.
I've also heard that general management might work. No idea what the starting pay for something like that could even be. Probably really low unless you have a business degree of some sort. I mean, if you have a physics degree and are looking at management, they know you're desparate enough to take a lower salary. Anyway, I can't imagine really doing it myself, so I've stayed away from that.