For the most part, the DLR queues are either outdoors or a mixture of indoor/outdoor. Some of the outdoor queues are covered, but not inside a building. It's probably easier to try and get a list of the rides where all (or most all of the queue) is inside a building because as I think about it, I can only think of a handful of rides where the queue is indoors (Roger Rabbit, Muppets (just because it never has a line)). The issue that a lot of rides have queues that go indoors at some point, but if the lines are long enough, part of the queue will be outside.
These are the ones where the majority of the queue (regardless of length) is located outside and may not have covering. Some will have shade, but portions will not be shaded:
Haunted Mansion - no reliable shade that I can think of.
Winnie the Pooh - some of this queue is shaded by the railroad track, but a good portion will not have shade, especially near the loading area.
Big Thunder Mountain Railroad - some of this queue might be shaded by the track and mountain itself. Still portions will be in the sun.
It's a Small World - very little shade, but you might have better luck if you pick the inside line. After the split, neither line is shaded very much.
Dumbo - no shade that I can think of.
Casey Jr. - no shade that I can think of.
Tea Cups - no shade that I can think of, unless the sun angle and nearby building provides some.
Storybook Canal - no shade that I can think of.
Alice - the building provides some shade, as does the trees. So this one might be okay in terms of sun.
Matterhorn - no shade that I can think of until the very end of the line.
Astro Orbitor - no shade that I can think of unless sun angle and buildings help.
These rides have some of the queue that is inside a building or are at least located in an open-air building, but some of the queue is still outside (i.e., not covered):
Pirate - most of the queue is outside but seems like there is a better chance of shade because of the tree, a little in inside.
Autopia - some is covered, but not inside a building.
Buzz Lightyear - first part of the queue is outside with limited shade (the part by Pixie Hollow is shaded, the part in front of the ride is not), then it goes inside.
Indy - standby has more that is outside but a good portion is shaded, FP will bypass most of it.
Splash - the first part is outside, then it goes into the building/mountain.
Jungle Cruise - downstairs is covered, some of the upstairs is exposed.
Space Mtn - the FP line is mostly indoors or covered, but parts of the standby line are not covered or shaded.
Peter Pan - part of the line is outdoors/unshaded, then it goes into the open-aired building.
Mr. Toad/Snow White/Pinocchio - if the line is long enough, some will be outside, the rest is at least covered (open aired building).
I'm having a harder time picturing the queues in DCA, but these are the ones that come to mind:
Soarin' - part of the standby line is outdoors and then it goes inside a building.
Little Mermaid - mostly all outside, but unless the line is super long, most of it is shaded.
TSM - some is shaded, but it depends on placement of the umbrellas.
RSR - open air queue, but standby is mostly covered. Some of the queue is not shaded, but the building helps with shade for the single rider and FP lines.
I can't remember what the queues look like for the other rides at this point. Overall, I think you'll find that most all queues have a least a portion (patchy) that is exposed to the sun.