Use a standard title (non-scrolling) - add your drop shadow, then use the placement tab with keyframes to make it scroll. First keyframe - off the bottom of the screen. End keyframe - off the top of the screen (or however you want it to scroll).
Or...if you really want to take another step....just drop in two event lines of titles. Offset the second one just a bit so it is a shadow of the first - then keyframe them both so they "move" together.