Thanks for your concern! As a private citizen I don't know of much you can personally do (I struggle to find such things myself).

I think the most pressing concern is to force Egypt to open a humanitarian corridor from the Gaza strip, so that refugees can run away from the battlezone, saving their lives and making the war easier for Israel. So far, they have refused. Serious international pressure on them might help. I had a short discussion about this in a parallel post in Less Wrong, and I think this is one of the highest life saving interventions right now.

In addition, in recent days there started efforts to deny the massacre of last Saturday. Since some of it was streamed on Tik Tok, Telegram and more, and some are deleted in effort to destroy evidence, high ranking managers in social media companies who could prevent that and preseve the evidence would be immense help.

I agree there's no endgame. I'm working on a long answer explaining why that's not too terrible.

The Hamas holds 56% of the Palestinian Legislative Council seats, elected democratically in 2006. Neither Presidency nor legislative council elections have not been held since 2006, because Hamas would win them. 

What evidence do you have for a silent, peaceful majority?

Not easy, but personally I don't see an alternative, as seems to be a growing concensus. Whether it's possible we'll have to see.

As Yonatan said, I answered in that comment. You're more than welcome to add follow- up questions here.

Israel would be very much in favour, and would pay quite a lot of money. At least 10% of our annual 125 billion $ defense budget goes to protect from the Gaza strip specifcally. 

Palestinians would not accept that, since they very much do want the specific land, and not an improved quality of life. Also I'm not actually sure they will get it in a landlocked desert, but that's besides the point.

Forced population tranfer is considered a crime against humanity and is not an option currently on the table.

Paying every immigrant actually has been a suggestion, mainly from the far right. It's considered close enough to forced population transfer that it's not mainstream, and I'm not sure how many takers you'll have. Also countries tend to not actually want Gazan immigrants.