Is there any outside ranges locally? I'm in the south suburbs of Chicago.

ISRA range
https://www.isra.org/Participate/YourMembership/ISRARange/RangeDirections.aspx

Depending on your definition of local, but at least it is public:
https://www.buffalorangeshootingpark.com/

I’m an ISRA range member.
I’m in the south burbs area.

It’s about a 45 min drive south for me.

https://www.ar15.com/forums/hometown/List-of-outdoor-shooting-range-in-IL-/23-628525/

I second the ISRA range.  Two big pistol bays up front, 200/300yd range, 100yd range, 100m range, shotgun.  Then you drive around back and there are four huge pistol bays.

If you are interested in shooting service rifle with a great bunch of guys (myself included ) check out the TNIRL (Tuesday Night Irregular Rifle League)

We shoot on Tuesdays, early match and late afternoon match.  $10 and that includes dinner.  So we shoot, make up excuses, eat and BS.

If you ever want to check it out send me a PM, be glad to take you

http://www.aurorasc.org/