Exactly what I do! 2 1/2 foot section of broom stick in the back, along with the compressor, flat fix, crank flashlight, first aid kit, etc.You know that shirt "sh-t happens"
Snow happens - the bigger the wheel the bigger the possibility of getting a case of the shakes. My Sequoia has done this a couple of times. My Gen 4 subaru not yet but I know it can happen. My 2001 Legacy GT which spent far far more time in the big snow than our Gen 4 will - only had this happen once in all the 11yrs of big snow weekends in the Sierras where they measure the nightly dump in increments of 3ft. LOL
I keep an old cut down broom stick in the trunk works great for knocking ice and snow loose from the wheels. Though I haven't used it for so long I can't recall if its even in the car.
The broom stick gets the wheels back in balance for the highway trip after skiing and also knocks the frozen slush out of the wheel well behind the front tires so it doesn't inhibit steering.