4 days gets you N. Ridge Goode along with Logan and depending on super fine weather and your speed you might get Black as well. You would really have to move though.
If you want decent rock and 5.8 climbing, then climb N Goode mountain. Its sub summit.
4 days gets you Buck, Liberty cap, Fortress, Chiwawa, 7Finger Jack and Maude. That is if you really move. All of those are class 3 or lower.
4 days gets you Redoubt and N. Face Bear mountain from Canada side in perfect weather. More likely is N. Face Bear 5.9 only if you are lucky. Or change that for Redoubt and Spickard along with pt 8800+. Though that late you will have Serious bergshrund problems and without great difficulty probably makes Spickard unattainable by the classic N. side glacier route that is quite beautiful.
I do hope those 4 days do not include travel time, but rather time after travel. Otherwise you had better choose a single/double summit.
4 days gets the ptarmigan traverse as you stated under ideal conditions. Takes 2 cars unless you modify it. 1) go in from Lake Chelan and out Lake Chelan, though if you do this, ditch the 1st have of ptarmigan traverse and head directly for Gunsight and its granite along with Agnes, Sinister, Dome, Spire, and White Rock Lakes. If you are really moving you may nab LeConte peak as well a beautiful peak rarely climbed.