I know around Europe there are some travel operators that offer passenger berths on commercial shipping lines. Maybe there are also some trans-Atlantic options?
You probably get a small room, and it’s not luxurious. But compared to the literal hundreds tons of cargo on board your carbon footprint is probably minuscule.

You also get a unique experience about life on board, so that’s worth something as well :)
I had an acquaintance who travelled from Amsterdam to Helsinki this way. She was very positive about the experience.

Though you will have to arrange two separate trips which might be a bit more complicated. Cargo vessels don’t stay in port long enough for you to enjoy a full vacation.