Hi Christian,
In general your itinerary is the old fashion tourist trail. Once up on a time that was the thing to do. Now it is a slow moving cue of tourist. Things have changed enormously and they keep on changing.
Shangri-La: Even the name was invented to attack tourists.
Songzanlin Lamasery. Is interesting but sometimes the place is deserted and has a strange atmosphere.
Shangri-La old town: Burned down some years ago and has been rebuild in Han style.
Baishuitai: Apart from the locals that try to rip you off quite OK.
Tiger Leaping Gorge: Up to 5000 tourists every day on a day trip from Lijiang.
Hiking. Takes days and not a few hours.
First bend of the Yangtze: Not worth the effort. Chinese look from a distance from the watch towers build at tourist stops on the route between TLG and Lijiang.
Lijiang: Overpriced and overrated. The last Naxi has gone and is now run like a giant shopping centre by some Han tourist corporations.
Shaxi: Go there before it is too late. Recently build Landscape hotel will attract hoards of western tourist. They are enlarging the road to it to accommodate tour busses.
Shibaoshan: Spend a week there ;-)
The only place really worse going.
Yangbi: Forgotten by the tourist. Visit the old iron chain bridge and the old mosque.
Dali: Main streets are one big shopping experience. Go off the main road and it is worth it. Do try the Bad Monkey beer.
Shaping: Is history. Once this place was only accessible by boat across the lake and on foot from the surrounding mountains. Now there is a big new road shocked with thousands of tourist. The market was old fashion; farmers bringing in their products and traders exchanging them for industrial goods. Now only tourist crab for sale.
Shilin: 4,000,000 visitors per year That is 11,000 a day. If you really have to go then go to the Naigu Stone Forest which sees only a hand full.
Yuanyang Hani terraces: Great but the wrong time of the year.
Yuanshui: No problem but not that special.
Red Earth: Great but again the wrong time of the year.
Again your itinerary looks like a bucket list to tick off. Well if that is what you want go ahead. If you want to see Yunnan do something else.
Good luck!