Here in Memphis, there is a range that has AR-15 nights. They'll let you bring in your .223 to shoot, but you must only buy your ammo from them. They sell 'frangible' rounds specifically for AR night so as to protect their equipment (and the residents behind the range). Call your local range to find out. If not, see if they're interested in starting it.
Don't know of any in the Columbia area, But if your ever in the Myrtle Beach area, The Myrtle Beach indoor shooting range, has one indoor lane for rifels, they do check ammo, not sure what restrictions they have on the ammo, Its located on ByPass 17 south of 501.............
Yeah I took my CCW course there, it is definitely a nice place, a little bit of a drive for me, but will definitely be worth it. Just requires that you be a member of a gun organization and I haven't received my membership packet in the mail yet from GOA.
Up here in Laurens county there is a public range. It is called Philson Crossroads Rifle Range. I went and shot there about a month ago. Several guys were shooting AR-15's. I think it is about an hour from Columbia.