Run wiring across hardwood flooring to a mid-room aquarium
I would use a hard plastic or metal version of the channel you describe, and run foam tape under each edge. It'll handle any unevenness in the floor and will be removable, even if an adhesive remover is needed. 

Start with a "removable" version of the tape. If the floor has a good finish on it, you could then try a "permanent" version if the removable version doesn't hold up well.