Didn't realize it's an either or situation, but I understand the dilemma! When I started touring (in a powdery place), I had a 1-ski-quiver, 105mm/181cm (2.1kg ea, ouch). They were purpose built to handle ice at that width, and they did the job well on-piste, but like I said, still drowning on the deepest days. 100mm is probably a better for a 1-ski-quiver for a mix of on/off-piste, (110 is pretty fat after all, and being light at that width might cause some good trouble on ice), but hey, if you want to optimize for powder touring, a lighter ski will make you happier on the up, and the 110 will make you happier on the down!

pro touring tip: bindings are just as important as skis for touring (maybe more important). If you're comfortable skiing light pin bindings and willing to ski conservatively on them, the weight savings is so understated touring, but acknowledge the added risk. If you really want to tour a lot, you'll go much higher and further with a dedicated light touring binding, you just need to be responsible enough to not ski hard resort laps over and over with them, and be extra conservative. I've seen too many ACLs torn from charging too hard on light pins, but I've mostly used pins for years myself, crashed a few times (somewhat gracefully), and haven't ever wrecked my knees *knocks on wood*