A longer route isn’t always safer: the southern route via Hood River (I-84) will add 4 hours to the 4hr trip, and frankly, Hood River is the only place I’ve ever experiences a complete road closure in 25 years of driving (just last year).

Like everyone else here has suggested: just drive slow, avoid distractions, carry snow chains—and bring water/snacks/TP—and you’ll likely be just fine. Always be willing to turn back to get a hotel or something.