Are you hiking or climbing? You will want different boots for each. My climbing boots and crampons cost an arm and a leg, but my normal winter shoes are insulated shorty above ankle like a sorel. They are made by Itasca and cost $28 at Bi-Mart. They have good soles and are warmer than most any hiking boot.

You did not fill out your profile. Did you mean Mt Washington in Oregon? Where do you live and what conditions will you use them in?
Jim
Jim