Don't put it in the case after use. If it's the same as mine (the blue tin presentation case with foam inside) it's a perfect device for retaining moisture and causing rust. Also avoid keeping it in the bathroom where it is likely to be humid.
After use I just leave mine on a desk in my bedroom. I put it under a fluorescent desk lamp which doesn't
noticably heat it up, but I figure even a tiny bit of heat is enough to encourage drying.
I wrapped a velcro strip around my razor to keep it closed. Not tightly, but snug enough so that when I slip it on it acts as a good safety device. A rubber band could do the same thing but you want to avoid forcing the blade into the scales or marking them.
http://www.g-ray.co.uk/pictures/dry1.JPGhttp://www.g-ray.co.uk/pictures/dry2.JPGhttp://www.g-ray.co.uk/pictures/dry3.JPG