I bet the instruction and racing will develop your skills very quickly. There's nothing like trying to shave a second off your time to focus your awareness on the subtle technical aspects of skiing.
I've known some people who were pretty decent racers that never became comfortable going off the groomed runs. To get the most out of the sport, I would recommend that you view the skills you acquire through your race training as the first set of "professional quality" tools in your brand new toolbox.
Your race training will give you confidence in making tight, high speed turns on steep hard-packed trails. That's a great starting point to eventually becoming an expert all mountain skier (which is where the REAL fun is).
Find the guys or girls on your team that like to ski bumps, trees, crud, powder...everything on the mountain. Hang out with them, and follow them around the mountain when they're not in race class.
You'll find that the angulation, edging, and weighting techniques you've been learning are not always the most effective in every situation. For example, you might find that "skidding" isn't necessarily a dirty word in a steep, tight bump field. In other cases, you'll find that subtle modifications to your racing technique are required.
Get your hands on some twin tips, go play in the park. Take some telemark lessons. Do some backcountry touring. Try some nordic touring. Earn your turns when the lifts aren't running.
Build a pulk, pull your gear into the backcountry wilderness...learn to build a snow shelter and sleep in it.
Get yourself some avalanche training. Do some cat skiing. Write "heli-ski the Canadian Rockies" at the top of your bucket list.
Ski Stowe's "Front Four". Ski Great Scott, High Rustler, Corbett's, KT22, Tuckerman's.
Spend a day lapping the tram at Snowbird. Get first tracks in Alta's Devil's Castle. Ski Jackson Hole, Taos, Tahoe, the Pacific NW, Whistler, Revelstoke, Big Sky. Ski Europe.
Spend a year as a ski bum. Tend bar in a base lodge. Work as a liftie. Become an instuctor. Serve on a ski patrol. Fire an avalanche cannon.
Do all of that and you're still barely scratching the surface of the world of skiing.
I recently read William F. Buckley Jr's literary autobiography, "Miles Gone By". In one section, he recalls the yearly trips to Alta that he took with Lawry Chickering and Nobel Prize winning economist Milton Friedman. Friedman began skiing late in life and pretty much stuck to the groomers. When Friedman was 81, their instructor Junior Bounous had him try some fat skis and soon had him skiing powder in the trees. Buckley joked that he and Chickering might need to pull a Tonya Harding on Friedman before he got too good for them to keep up with. He went on to say:
"Ah, well I exaggerate, but I don't when I say that Lawry and I skied with someone who at eighty-one was three times the skier he was at seventy-eight".
The point is, you WILL become a good skier this year. But, by continuously adding new skills and experiences, there's no reason that you can't keep ascending that learning curve for the rest of your life.