Hello and excited for your trip out here. From the Tram there are really only two options. Corbet's and what we refer to as The Bowl, not to be confused with our many other bowls.
To determine if it would be a good choice for you to ski or not without first skiing some other runs we have that are groomed of an almost similar pitch I wonder if you ski black terrain that is not groomed at home? If you don't this might not be fun, and possibly a really nightmarish scenario. Often our snow is softer which makes things much easier, but please reach out and me first! You mention steeper not being green and being forced on to that terrain. That does not sound like you are regularly skiing easy black for fun. am I right?
I do not know your home mountain, so your blues may be like ours or easier or harder. The color rating from one mountain can vary significantly from another mountain's rating. I often hear people say that our blues are like their easy blacks.
The bowl, is never groomed. It is too steep. As stated above, some days the bumps are small, some days big, some days the powder and wind fill in the bumps and we get what we refer to as wind grooming and start back over with a smooth, though seldom firm slate, more like powder day smooth. Those days would require decent powder skills.
The one upshot of the bowl is that it is super wide. If you have a solid side slip or traverse and feel comfortable in steep terrain you can traverse while avoiding downhill skiers, then sit on your bum, flip the skis around and repeat until down to the bottom. It is I believe about 500 vertical feet. Skiers drift aka far south and further away from the tram is probably the shortest and least steep side of the bowl.
My suggestion would be to start off skiing runs such Laramie Bowl which is a steep long double blue that they do groom with a winch. If that seems fine, then ski the bumps along the groomed part of Laramie. Then graduate to a groomed or ungroomed Bivouac. The cool thing with bivouac is you ski right under the bowl to get to it, so you can look up and see what you think of it all first!
Feel free to ask me any questions. My point of view is only one of many. However, I have been called in to save many skiers who were overly ambitious on their first trip out here.
Finally, do you want suggestions for restaurants during the day, at night, at the resort or in town? Any considerations? Sit down with waiters, specific genres. etc?