jclay, I moved your post to backcountry forums.
The average vertical feet varies with the objective, length of approach, and physical abilities of the skier. Climbing 3000 vertical for me, is a pretty good piece of effort. Lapping it twice for 5-6k is about my limit. Younger and more fit skiers could double my vertical and maybe get up to 10000.
Hiking is again a variable depending on the pitch, conditions, altitude and fitness of the climber. A long relatively easy approach can be covered at perhaps 2-3 mph average, while a steep climb up a couloir is going to be slow going. The answers to your questions are to get out and get to know yourself through experience what can be done in a day. One thing is safe to say, the trip back down is a lot faster than the trip out.