The one thing you can do is call 911 and when they respond, just say "I need the non-emergency line" and they'll usually transfer you immediately or just check quickly with you. Just don't waffle on.
They probably wouldn't (but certainly could) charge you with it if you just do it once or without warning you, but still, it's an obvious abuse of the 911 system.
You can just google the number.
If it’s not an emergency, there is no reason to call 911.
What world do you live in where you need to make a non emergency call to the local police, but can’t just google “PLACE NAME police non emergency phone”?
Most people don’t know the police non emergency line for where they DO live, so you can safely just use the same procedure you use at home for phone number discovery when you are away from home. If you don’t have that dialed in, google can help you there too. It’s a fantastic place to learn all sorts of basic life skills.
It’s not an emergency, take your time and figure it out since timeliness is not extremely important. Google exists, phone books exist. You also don’t have to get it right on the first call, you can call the wrong people and they might know the right people to call. In fact, that happened to me when the water main broke on a Sunday near my house. I called the fire department non emergency line and they said to call the water department. I called the city water department, but they said I was in an area handled by the county. I called the county water department and they sent someone out. The first two calls cost me less than 5 minutes, and the people I spoke to at the wrong agencies were kind and helpful.
When I’m away from home, it really isn’t any different. I just change the name from “(town where I live) police non emergency line” to “(place I currently am) non emergency line” when I google things. Alternatively, turn on location services on your phone and you don’t have to put the place, google will figure it out for you.