First does it make sense for an intermediate skier to go out West? Absolutely! I am involved with the Chicago Metropolitan Ski Council (CMSC) we have about 75 member ski club representing somewhere between 5,000 - 10,000 skiers. Most of these skiers are intermediate skiers, but most do a least one trip if not more out west every ski season.
Now where should you go skiing in late February. I cannot speak for the northeast, but if going west I would recommend going somewhere with a number of different resorts in a close area. Summit County, Colorado, or Summit County, Utah, would be good choices. Most areas are below average for snowfall this season so being able to ski different places on the trip can make up for any issues there may be with terrain limitations because of snow.
Summit County, Colorado, includes Breckenridge, Keystone, Copper, A-Basin and Loveland. You could stay at one of the resorts (Breck, Keystone or Copper) or you could stay in one of the centrally located towns, Frisco, Dillon or Silverthorne. Vail & Beaver Creek are about a 45 minute to hour drive away and Winter Park is about an hour and a half away so all of these are doable for a day from Summit County. This would give you the option of skiing a different ski area every day if you wanted to.
Summit County, Utah, is home to Park City Mountain Resort, The Canyons and Deer Valley. If you base in Park City you could easily do day trips to Snowbird, Alta, Brighton and Solitude. Or you could base out of Salt Lake City and hit any/all of these places too. Again you could ski a different ski area every day if you wanted to.
Lake Tahoe is another option with lots of ski areas in a small geographical area. However, the Tahoe areas have very limited snow fall again this season so I would avoid it this year.