Our group is two couples. We will be arriving on Feb 26 and staying at a friend's condo at Deer Valley for two nights, skiing DV on Saturday and Sunday, 2/27 & 2/28. On Sunday evening we will be moving to Marriott's MountainSide for 7 nights, skiing at PCMR on Monday.
The only two ski days that we'll overlap will be Friday and Saturday, 3/5 and 3/6. At this point our plan is to ski Alta on Saturday, Friday will be PCMR, Canyons, Snowbasin, or possibly Solitude or Snowbird, depending on where we ski earlier in the week and the coverage at Canyons. We will already have tickets for every place except Solitude and Snowbird.
You haven't mentioned where you'll be staying or whether you'll have transportation. If you're staying in Park City, this could be doable if we ski at PCMR or Canyons on Friday. Saturday we'll be driving to Alta but with the skis in the SUV there won't be room for more.
Let me know.
P.S. I grew up in the Detroit area until I moved to San Diego in 1989.