This is a great article on Iodophor...
In summary, not only is air-drying OK, you don't even really have to sweat it if it doesn't completely dry. At the proper concentration, even the most discerning palate cannot taste the presense of a small amount of Iodophor in the finished product, nor is it harmful at those levels.
Practically speaking, the risk of rinsing is probably negligible as well, but this article really opened my eyes. I'm all about the Iodophor now. It's cheap, as long as you are using the right concentration. No stresses about rinsing or drying or anything, just do the best you can to let it drain and dry. I was using bleach for my buckets and carboys and One-step for everything else, but at this point I'm just using bleach to clean the buckets themselves and Idophor for the rest.
To be fair, I haven't used Star-San yet, I know it has many, many proponents as well. I don't know how much you need to be concerned about making sure that IT air-dries.