There are new hotels in Fishers and at Hamilton Town Center, the new Noblesville shopping center along I-69. It's hard to know the names when they just pop up. Staying at HTC allows you to take Olio Rd. right down to IGC. If that doesn't work, there's lots of options at Castleton (465 and Allisonville). You really shouldn't have a problem.
Someone from the Indiana Trapshooters Association should have responded to your question very quickly. There's not a lot of Trap forums to monitor.
Leave the club, go west on 113th to Olio RD, turn north then west on 116th. Take that to I 69 and go south to 82d ST, go west and there are several motels there. We stay at the Days Inn on Craig but there are other choices.
Easier and prettier, go South on Olio to 96th St./Fall Creek. Go West. Take this across Geist to the 96th St. exit on I-69. Lots of dining along the way, and a pretty water view. Hamilton Town Center has a Chuy's.