Travel Gurus and Parents in the Pacific

Anyone know of cheaper way to get to Majuro?

So far the best I can come up with is to fly to Honolulu from Austin (about $800 round trip) stay over night in a hotel fly from Honolulu to Majuro ($1,500) round trip this is $4,600 just for airfare for the two of us. Is the another way to get there? Maybe by boat? I tried to look into traveling by freighter (I had no idea sailing on a cargo ship was even a thing until someone mention the cruising CC site) but the only cargo company I could find that goes to Majuro is Matson and it doesn’t look like they take passengers. Any other ideas?