With the route you describe, you won't be going near any of the affected areas. And the only thing that would stop you from driving would be the Hwy 101 closures near Santa Barbara, which are temporary anyway. You can still easily drive through the Napa/Santa Rosa fire areas on 101.
The only thing you have to decide is at what point you're going to swing over to the coast. I recommend taking Hwy 20 to Fort Bragg and then continuing north to the Oregon coast. If you take 299, that's a long, windy road, and if you wait until you get to Grants Pass (the next feasible opportunity), then you're doubling back south to get to Brookings via 199.