Have you ever canned slightly underripe tomatoes?
I have a bunch ripened and a few that are borderline. We’re going to be out of town for a week and they won’t keep.
I have not canned under-ripe tomatoes.
How about a big batch of Fried Semi-Green Tomatoes before you leave? ;)
Take them to your Food Pantry? I was at ours yesterday and there was an amazing amount of garden produce, which I thought was really nice.
No cukes or zukes, though - also very nice, LOL!
You might try washing and drying those underripe ones and putting in a plastic bag, not sealed in the fridge. They should hold til you get back.