Steve,
The "open-top" half-shield mounts went through a few iterations for sure. It appears that the initial open tops on the early BENSON-GLEAVES units simply added the shield to the existing "open" 5-in/38cal mounts and retained the lower front shield. The frontal shield to protect the electrical and gearing from water in front of the mount was kept in place. I suspect these were the early shield with the truly splinter protection thickness. This type of "half-shield" with the bottom shield lasted into 1942 at least, but is noticeable into 1943 on some units. By about the time they started adding the twin 40-mm mounts on the SIMS-BENSON-GLEAVES units, this type of half-shield was replaced with the "light-weight" shield that really offered very little protection except from the weather, to compensate for the added weight of the 40-mm armament. But not always was it replaced. On the SIMS class, they appear to have been modified from the start with a completely new half-shield that did away with the original open mount lower frontal cover.
There are a couple (several actually) of different "types" of canvas tops. The very first units actually appear to not have had any real bracing under the canvas at all. There is a "flat-top" and at "middle-peak-rounded-edges-top" (or just call it tapered) which obviously should do a better job of keeping water off. The most common "type" appears to be the one that DML has choose to model, the tapered type. It is up to you, but I don't know that it is worth your effort to try and duplicate ALL of these. The number of support piping ribs varied, but appears to have evolved to about three or five going across from side to side, front to back.
Directly below are a couple of views of the Half-Shield Mount with the lower frontal cover retained in the design that was installed on USS MADISON (DD-425) in June 1941. These two images are curious of Roger Torgeson. The third image is a close-up of the type of half-shield installed on USS MORRIS (DD-417) in August 1941.
At the bottom are a series of views of different types of canvas tops.
The first three images show the "evolution" of the canvas cover styles used on USS WOOLSEY (DD-437). They are out of order, the first one shows her 1943 half-shield style and the next two show the 1941 and early 1942 styles.
The remaining images show various styles of canvas tops. Just to make it confusing.
Note that USS GLEAVES (DD-423) in 1945 had a different shaped shield (I never noticed this before) in the front. The lowest vertical front panel is much shorter and appears to stick out further out from the mount than on other shields.