Ahh the joys of buying real estate. You actually don't own it.
We need to fight for Allodial title here in Indiana. Thats another topic.
If you live OUTSIDE of city limits you can shoot on your own land. If you own over 40 acres (might be 30) you can shoot on your own land even if you live in city limits.
Private property is not subject to the same laws as public shooting ranges.
They cannot actually do anything to you about noise during "normal hours" I don't have the statute handy, but it's something like 7am to 10pm give or take an hour or two.
You'll need to read all the statutes. Also call the Sheriffs office and speak with someone who actually KNOWS which isn't always easy. Best bet, do some reading at in.gov, the online codes and statutes make it pretty easy.