It sounds like you should get a minivan. Not kidding. Cheap. Good on gas, fits all your family, can get awd even. You can even pull a trailer with a 4-wheeler or a small boat.
I bought a Christensen Arms Mesa .308 last summer that I like quite a bit.
I'd call it a mid-weight that's on the lighter side. But certainly not a lightweight rifle by any means.
But if you'd like to stick with the browning you could go with a Hell's Canyon Speed with the 22" barrel or the...
I'm just dishin BS. But, you're probably getting close to the end for that one. My buddy is a die hard GM guy. He pushes them to dust. It's usually 290'ish K.