The river doesn't have much, if any "good" bank access water. There are a few decent spots, but very water level dependent. they raise and lower the damn throughout the day, so depending on what the flow is, you may or may not be able to access it.
You are correct in your presumption of the "boon dogging" as this is generally what the masses do on the Skagit. It is a big river. much bigger in most areas than that of the Vedder. I would say that on over 98% of it, you will not be able to cross from one side to the other, throughout the year. The waters are not like that of the Vedder, which have generally well defined holes or nice pocket water. It is more of a wide river with deep slots or deeper holding water throughout.
Bottom line, to fish the Skagit along the area that you are wishing to do so, from the bank will be very difficult. Not impossible, just will take a little driving and spotting small runs next to the road. From Howard Miller Steelhead park, up the road a few miles will be a pull out for cars to pull over and view wildlife, mainly eagles. Start looking through this stretch for small side channels. There are a few decent slots along this stretch if you keep an eye open. It's hard to explain exactly where they are, but once you get to the area, this will all make sense.
good luck