I have the consumer Laser GS c. 180/18 ski (slightly different specs, but close). I have also skied a longer non-FIS Stockli Laser GS version from 19/20, maybe 182/83 or 185/r. c. 19 or so, not sure exactly. Both are relatively easy to carve well, though a slight bit on the stiff side in flex in comparison to some other non-FIS gs brands.
I also have several 183/23 W FIS WC Volkl skis, a 188/30 FIS/WC W Volkl GS, and an Atomic 188/30 FIS/WC W GS. These longer r 23 and r. 30 skis are relatively easy to carve, even at speed with high edge angle, if you are used to race skis. (Also, I've been on a fairly good number of other non-FIS spec gs skis to demo.)
A 176/23 is not something I've tried. The non-FIS GS race 175 skis most brands make generally have a turn radius more like 17, because they are designed to be very turny, very easily, to me right in between gs and sl - very quick turning almost like an sl, more range of turn shape and size like a gs - except very very quick, and fun recreationally. A 176/23 would be a different animal than what I've been on perhaps - maybe harder to turn and handle well in some ways than the 183/23, which to me is a very easy-going gs race ski, actually. I just don't know, but so far I've found that most of the length/radius combinations encouraged and sanctioned/manufactured for some kind of general use are dialed in, fairly easy, and would not be a problem on a course with a comparable setup & measured gate turn length. Including for Stocklis. (For beer league, you'd have to check what the gate distance setup is, what radius it is designed for: it would have to be compatible with the r 23 radius to work. Ask the coach.)