In addition to the temperature, consider the UV exposure. Florida and NYC are at sea level and there is a LOT more UV at 2000 and 3000m. While SPF50, blah, blah, blah lotion is available and some of the “waterproof” stuff actually stays on for a while, nothing works as well as a hat and long sleeves (except a roof!).
So have an outfit that covers your head, neck, and arms, and possibly your legs (depending on your ethnicity) while not being too warm. There will be mid-day uphill climbs when you want to be cool but protected from the sun exactly when you’d be sweating off the sunscreen most quickly.
They’re a little bothersome to transport, but I really like to use a Chrome Dome of any of the variants of 8-ounce, silvered umbrellas. In the high Sierra, it feels about 15F cooler underneath and when it rains, it lets me use my glasses and is a much more comfortable “hood” than the hood on my parka – 360 visibility and far better ventilation. I transport mine in a cardboard shipping tube like you’d mail maps or posters in. If you can’t find or don’t want to pack a Chrome Dome, then consider a cheap folding travel umbrella. You can’t use them in high winds, but for much of day, it does a lot to keep the temps down and sun off.
Edit to add: I transport them in tube **on airplanes**. While on the trail, I just slip the Chrome Dome along the side of my pack like trekking poles or tent poles would be.
Speaking of the High Sierra – The alps have a very similar climate and elevation, so any of the extensive US articles, blogs, and youtubes about high Sierra or PCT clothing would be applicable.
Those refuges are fabulous – a roof, mattress, meals, sometimes laundry. If you can string together enough reservations, you can potentially do it all with a day pack holding a warm layer, enough food for lunch, and your credit card. I’ve been in some that served 5-course dinners, had a full bar and latte machine.