From Laramie - you should plan on riding out of Albany and Greenrock. The general rule of thumb that we have been telling people the last few years is that if you are new and headed up from Laramie - be flexible and go with what the weather conditions allow. If the wind is howling as you head towards the mountain and you can't see the "peaks" turn off on Highway 11 and ride out of Albany for the day.
Riding out of Albany there are more trees to keep you out of the wind and you have a lower chance of getting lost in a whiteout (key exception being Nelson Park on Trail T - watch out for that area if it is snowing and blowing). As a general rule of thumb out of Albany you want to make your way north and west to find the best snow. A couple of times per year we get upslope storms and the riding will be good right out of Albany.
Riding out of Centennial - this is where the majority of the traffic is since it is closer to the deepest snow, hill climbing, and most technical terrain (and where you have to watch for avalanches). Depending on how your trip is timed with the last snowfall you may have to search a little for some fresh snow, especially after a weekend. Trail U is the main trail that follows the highway from the Greenrock parking area - from there you can do a few different loops - generally the best snow is on the north and west of the peaks. The Trail N - NO - O loop is very popular, and has some spectacular scenery on a clear day - but can be difficult to navigate if visibility is poor. If you are up there for a few days you may want to plan a ride one day over to one of the west side restaurants/lodges for lunch if you get a good start (call ahead and make sure they are open and have gas or pack your own).
Bottom line - Go with what the conditions allow you to do.
