What year Odyssey? Many years of the Odyssey didn't use the same bolt pattern as the Ridgeline. I think the Rigeline was Honda's first vehicle to move to a 5x120mm bolt pattern. The Odyssey, Pilot, and MDX were all on 5x4.5" bolt patterns. The Ridgeline, in 2006, introduced the 5x120mm bolt pattern, and the Pilot moved to it in, I think, 2008. I think the MDX moved to it when it was revised for 2007. I'm not sure about the Odyssey.
Interestingly, the MDX is back to a 5x4.5" bolt pattern. I presume the new Pilot is as well. I also presume the new Ridgeline will be back on a 5x4.5" bolt pattern.
Even if a 16" wheel will clear the calipers, it's a moot point if it won't bolt up to the truck. I'd verify the bolt pattern on the wheels first, especially if it's a distance purchase.