YES, go dropbars! I would suggest fitting road type brakes. That way you will be able riding with your hands on the brake hoods. Itīs very comfy and braking is easy. I would also like to throw a strike for bar end shifters. I like mine very much. Itīs easy sifting when you ride with your hands on the hoods, which is a very relaxed position, just let your hand drop down a little and shift. Of course you could use your rapid fire shifters, but I believe itīs not as comfortable as barend shifters. But for brakes you should absolutley go for road typ. Welcome to take a look at my bike which is a converted mountain bike.
http://www.karlstam.com/
Klick on "Bicycling" in main menu at top. Then klick "Pictures and tips about the bike and gear" to veiw my beauty
