Here is my two cents:
Our garage currently consists of: 1991 FJ80, 2003 100, 2014 200, and a 2011 Suburban. My wife and I have 4 children between us: Ages 14, 13, 11 and 10, and we have an 80b yellow lab.
All four vehicles will haul all of us. Currently they are all set up with the third row seats installed, with the exception of the 2003, it only has one seat in the back.
The 80, 100 and the 200 will fit us all with no problem (except the dog). Access to the third row is inconvenient, but not terrible (but we do not have anyone in a car seat). In all three Land Cruisers, three girls can sit in the second row, and one in the back, or sit two by two. If they sit two by two, then there is not much room for any "stuff" (luggage, pillows, bags, etc.) So long distance traveling is typically not done in a Land Cruiser, unless we pull the trailer. But for the daily driving, they are perfect.
My daily driver is the Suburban. I thought about getting rid of it, but determined that for all of us to go anywhere, and take the dog, we need the Suburban. (I know a Suburban is not on your radar, but just giving input.) The Suburban will hold a ton of stuff. Last summer, I threw the Thule roof-top carrier on the Suburban, and we drove 3,600 across the western US, and we had plenty of room.
My wife went from a Toyota Sienna to her Land Cruiser (200) and she would never go back. But, our kids are older than yours, and do not need a car seat, and can get out of the car by themselves. She loves her Land Cruiser, her "Big girl car" as she calls it. She takes really good car of it, much better care than any van she drove.
You are certainly at that fork in the road and it is tough decision. I assume Honda will fix the van, but the confidence is gone. Good luck and drive safe.