I would go with the strips - just rip them from what you have. That's what I did and looks good. Looks like you used the exact same plywood that I did. Keep in mind that your van is going to bend and flex, so even if you get those joints looking good now it might not hold up. You could try, though. Maybe glue them together along the edges, drill some wood braces to keep them even while drying, sand, caulk, and paint.
I will say though that I had to take down my ceiling several times to redo some wiring stuff before I was done-done. Might be more challenging if you have to do that and you've already glued them into one piece.