I agree with most of what AZBuck is saying. I just have a tweak to suggest.

We have done this trip numerous times. I live in Washington state and am about 150 miles closer to Anaheim. This route works well for us on several trips to Disney with the kids, but you will have to push it just a tad more than we have. I think it's still do-able.

We always shot for Buttonwillow, CA, for our second night. The advantage is that it's only about 140 miles from Anaheim. We would usually then just sleep in the next morning and check out of the hotel mid-morning, breezing into Anaheim in the early afternoon....in-between the morning and evening rush hours.

Yeah, we would be a bit tired from the long driving but this also, essentially, gave us a down day to check into the hotel, spend the afternoon swimming at the pool and plan our final assault on how to cram in the most rides at Disney. So it worked well.

On the way home, we would play at Disney til closing and then hop in the already-packed car and head to Buttonwillow for the night. This meant we didn't have to deal with the LA traffic in the morning to get out of the city. Because we'd get in quite late (2-3am usually), we would again sleep in the next morning and start for home late morning.

This always worked well for us so you might consider it. YMMV.