You might try Winchester Gun Club, west of Racine on I-94 at mile marker 330, about 15 miles north of the Illinois border. It's on WEST Frontage Road about a half mile north of Hwy K.
Winter Hours are 10-5 on weekends, 5-9 on tuesdays and thursdays, and 3 to 9 on Wednesdays. They offer trap, skeet, 5-Stand and Sporting Clays.
If there's more than one of you, one of you should buy a $50 annual membership and buy a 20-round shoot card for $100 and share it between you. Non-member rates for trap and skeet are $8; member rates are $5.50, or $5 if you use a shoot card. Shells are available and the club has a bar.
The pullers are pretty good; it's customary to tip your puller at Winchester $1.00 per round.
Other choices are available in Bristol, Wi about 5 miles west of I-294 on Route 50, or Boxhorn (a little farther north and west of Winchester on Muskego Lake off US Route 45 at Hwy H). Bristol is a club, and it involves a lot of waiting around, but it was $1.00 cheaper than Winchester last time I was there. They offer trap, skeet, 5-stand, a well-run 200 yd rifle and pistol range, blackpowder shooting and Archery ranges. Boxhorn is a very well run club comparable with Winchester that offers trap and skeet, a bar, and a friendly atmosphere.
I'd rank them Winchester, Boxhorn, and then Bristol unless you're looking to shoot rifle as well.
Have fun.