lightspree, Multiple good hand positions may depend on what style of handle bar you've used the most in the past. In N. America and England it seems that the drop bar is more common on touring bikes and road bikes in general. In Europe, flat bars and trekking bars look to be favored on the touring / trekking bikes. Trekking bars (butterfly, figure 8) are becoming more popular outside of Europe, perhaps because of BMX riders and mountain bike riders starting to tour. I'm happy with four main areas of a drop bar, but concede the trekking bars have more possible positions.
Then there are the variations such as short drop or flared drop bars and different style grips and bar ends for flat bars, not to mention differing widths and so on. My distance roadie has aero bars, so that can also be a consideration. Find a handle bar that addresses the shortcomings of your current bars, without losing the aspects you like...and good luck.
Brad