I don't normally recommend Salomon, but I bet the Rocker 2 115 would be a great choice for you. I haven't skied this model of the Rocker2, so take this part of my response with a grain of salt, but I have read a ton of reviews on it. Its got a flat tail for more purchase on variable terrain and a directional flex profile for charging, while still having most of the playfulness specific to the Rocker 2 line. Those honeycomb tips and tails are going to provide a low swing weight without affecting the skis charging ability. It's what Cody Townsend uses, and he likes big stiff skis, but if you read reviews on the rocker2 115 its one of the most playful skis in its category.
For some skies I, and many other NSers, have some experience on, The Moment Governor as well as the Bibby Pro are both very stable skis, that also have a great blend of playfulness as well. They're pretty damp and super stable, however they still somehow have the traits of being super fun. It's pretty hard to find a combo like that. I also like the Surface New Life, it is very versatile ski. It has an amazingly playful rocker profile, but is super stiff and handle anything you can throw at it.
Also the Nordica Patron, more towards the playful side of things, with tail rocker and a medium flex, but definitely can still hold its own as a charger...Especially in the 193 length. I have a pair of 193 Patrons in mint condition (3 days of use, no damage whatsoever) with only one mount. I would sell them for 300$ flat.
There are many options playful charger in the 110-120 waist-width category. Usually playful and charger are contradicting attributes and hard to find, but when you have that much surface area (AKA a larger platform to stand on) , with a medium progressive flex, it's not too hard to make a ski that is playful while still stable. Obviously on this side of the range, the more playful Big mountain skis will have less stability than some of the damper skis of this category)...Some do break that "GOLDEN RULE", if you will. Of what I've skied The Bibby Pro/Governor and Surface New Life really stand out, and will do what you ask.
I could go on and on here... Sorry for the essay.
Ski Yellowstone. Jackson Hole. Grand Targhee. Big Sky. Bridger Bowl.