Gewehr_43,
First off I would suggest holding off until you get the Square-Bridge FLETCHER book before you permanently "glue" anything in place.
In the book, I grouped the Square-Bridge FLETCHERS by the builders and then configurations, instead as in the Round-Bridge book by configurations, because almost all the Square-Bridge units were completed to the five twin 40-mm mounts configuration or were modified to it after shakedown. At this point in the construction program, each builder ended up with unique configuration details to bulwarks and location of things like rafts. Anyway, USS HEERMANN (DD-532) was one of the numerous Beth-SF built units and there are quite a few detail shots of units built at this yard, but unfortunately none specifically of USS HEERMANN. But, the units built at Beth-SF had some unique features common to all units built after the first three (DD-526 through 528), images of some sisters built near her order in the construction program should provide needed details. One feature that stands out, is a "rub stake" on the hull below the waist twin 40-mm mounts. Only Beth-SF and Beth-SP built units or modified in their yards, had this feature. Attached is a portside image of USS HEERMANN prior to the Philippines Campaign.
First, I'm not sure "how accurate and exact" you plan to be with your build? Because, I could recommend some aftermarket replacements for the Trumpeter kit. If you are going for the "as accurate as can be afforded"
, then here are some suggestions. The prime one would be a 3-D printed Square-Bridge from Model Monkey. The navigation bridge shape on the Trumpeter kit is the wrong shape at the front edge. You could modify the kit's bridge to the correct shape as an alternative. Replacing weapons with better items would be nice as well. The 5-in gun mounts can be replaced with 3-D printed ones.
USS HEERMANN correctly was equipped with a SC-2 Air Search Radar. She had the Mk 4 Fire Control Radar on her Mk 37 director, not the Mk 12. Many of the PE sets out there have a common antenna for both the Mk 4 and Mk 12 radars, but they were different in size and shape. Some sets have these antennas way off too big in scale. Tom's is correcting this in future PE sets and Black Cat 3-D printed several versions of the Mk 37 director with a Mk 4 radar or with a Mk 12 radar printed on the directors. Both firms from original drawings.
As for Torpedo Cranes, the five twin 40-mm configured FLETCHERS, had two torpedo cranes; one forward by the forward stack and one aft on the elevated walkway. The Trumpeter kit has mistakenly omitted the forward crane from their kit for the five twin 40-mm configuration option. The aft torpedo crane (part A4) was on the HEERMANN. The aft crane was a telescopic crane that could be lowered when not in use. The Forward Crane, was a fixed height unit. OH ... by the way, do NOT use part A10. Trumpeter has used a Paravane in the location where a boat winch should be located on their model. Again this is an item that can be gotten aftermarket, 3-d printed or otherwise. Their K-Gun depth charge throwers reloads need PE framing wrapped over them to represent the reload racks used.
The anti-skid walkways were mostly separate series of rectangular shaped mat like material cemented to the deck. On other ships a painted on or a roll of material was used. Frankly I can't tell from photos which type was used on the Beth-SF built units. But, it does appear that they used the "painted-on" type. Plus it appears that they were pretty liberal its application with upper decks almost completely covered. The best way to represent the non-skid areas would be to use a slightly different shade of paint or one more flat. Because it was rough, it appeared more "flat" than just painted steel deck and stayed "darker" that the painted steel decks after aging.
Again, if you can use or do whatever you like and can afford for your build.