I missed the kids part. The Terrain certainly has added mass and wouldn't be the best suited there(nor close).
The handy/dandy Chassis build will connect the dots you want and let everyone play. Had a 18" fluted Rem Mag Sporter 223AI in a LSS and it didn't suck. I personally prefer a "real" stock's ergo's,but for what you are trying to do...a chassis will reliably get you there.
Stay OEM recoil lug,as the LSS mortise is trite(as compared to a XHCG and others of the ilk). Cheek risers are easily arranged,if needed and I'm a fan of the RSS self-adhesive neoprene version,if only to fight the bite of cold weather.
Load mags and turn 'em loose.............(grin)