No, I don't carry a chain whip. I did on one tour, and a cassette tool, and a small crescent wrench to turn the cassette tool. All that was heavy. I replaced it all with the Stein tool linked above. I used it on one tour - not for a broken spoke, but for a loose lock ring (I'd installed myself.) It really works!
I also carry a multitool with a chain tool, a spoke wrench, tire irons, a patch kit, some spare spokes, some zip ties, and a couple of miscellaneous bolts (for replacing a rack bolt, etc.) I have almost no screws on my bike so I don't bring a screwdriver. The only screws I can think of are the limiting screws on the derailleurs. (What am I missing?) I always have my Swiss Army knife. I use the blades for whatever (including slicing meat), the can opener to, well, open cans, and the screwdrivers are good enough for my uses on tour.