I like long-belly lines and long, stiffer tipped, progressive, fast recovering, fairly stiff rods, so keep this in mind when reading the following because there aren't all that many who like fishing this typ of rod. This also figures into why I use 16' or an 18' rod instead of the 15'er many consider to be big river, big fly rods.
I fish the Skagit quite a bit during winter/spring. In fact, I prefer it over the Sauk. I have been using a T&T 1611 since January 1997 on the Skagit, Sauk, Sky, Hoh, Queets, Sol Duc, and Bogey for winter steelhead. I also like it on the Thompson. I got the big 16' T&T stick because I like fishing with long-belly lines and the 16' 10/11 rods are very good at tossing big flies a long way when needed.
I also have an 18' 12 wt rod that I take out in winter when I am going to fish nothing but the Skagit. I use either the 10/11 GrandSpey or 10 wt XLT on it with sink tips. This rod gives great command of the water and makes casting big stuff child's play. It also allows you to fish those few lies that are 120' or so out in the river.
Meiser's 16' 9-11 Highlander Series has even more power than my T&T 1611 and if Meiser had it on the market 10 years ago when I got the 161 T&T, I would have bought the Meiser. Plus Meiser will build a rod for you with the action modified to best suit you.
G. Loomis has its very nice 17' 10/11 in their Greaseline Series and it is another rod I really like. Likewise, although it is not quite as stiff as I prefer, the 16'7" 10/11 CND Thompson Specialist is another rod I could easily live with. Carron also has some very nice 16'-18' heavy line rods (I especially like the 18'er) but they are pricey around $1600.00 or more US.
The new Sage Z-Axis 16' 10/11 is another good option for a powerful, big river rod. Scott also has a nice 16' 10/11 if you like a rod with a bit more bending under load.
If you don't want to go with a 16' rod, there are a bunch of very nice 15' 10 or 11 wt rods on the market. Meiser has them in his Highlander Series, T&T has the 1510 Poppy mentioned and its big brother the 1511 (a shorter version of the 1611), Sage has several covering different rod action preferences, St. Croix has a few, G. Loomis has a few, Burkheimer has some, CND has the Salar Specialist, Snowbee has a terrific faster actioned one, and I'm sure I've missed a few