Recommendations for 80/20 backcountry/resort ski package (skis, bindings, boots)

Like the title says, I am looking for a set up that will work for both resort as well as backcountry skiing. There is so much info out there that I am getting a bit lost. I ski both on the east coast as well as outside of LA, so ideally the set up would work for both powder as well as east coast icy days. I am 5’5” and I would say an intermediate ability. I am looking at the Salomon QST 106 skis (also open to any recommendations) , but unsure about the boots and bindings. Any recommendations would be greatly appreciated! I am not worried about the price point.