I fish the North Fork Lewis River regularly.
I agree with HH. A guide is your best bet.
However, if you'd rather not, the Lewis is not a difficult river to fish or to navigate. Launch your DB at Cedar Creek or Happa Park (they're about 1/2 mile apart), take it out at either the Golf Course or Eagle Island. The Golf Course launch is a bit rough. Eagle Island is better but still not great.
The spring Chinook run is about over, except for a few stragglers. The summer steelhead run should be picking up nicely. If you target summer runs, either side drift eggs or use a slip float with a jig, tipped with a sand shrimp tail. If your target is summer runs, take out at the Eagle Island ramp, rather than the Golf Course. The stretch between the Golf Course and Eagle Island has the rearing pens for summer steelhead. There are usually alot of summer runs hanging around the net pens. You'll see the net pens just off the main channel downstream of the Golf Course. Be sure to hit this stretch hard. I know alot of folks often put it at the Golf Course and float to Eagle Island, which is only about 1/2 mile, but it's usually loaded with summer runs. Sometimes, it's not hard to limit out in this short stretch.
There is no whitewater anywhere on the NF Lewis below Cedar Creek so it's an easy float. However, the sleds will likely be thick, especially if you go on a weekend. They don't usually slow down for DB's either. Have patience and keep your eyes open for fast moving boats.
Good luck. Let us know how you do.