USS Ereben is a Bath Iron Works built Fletcher. That gives her a distinctive bridge beyond merely being "square."
As a BIW Fletcher, she has "flats" on her funnels.
The time period you wish to depict Ereben will matter, too. Launched in 1943, she had refits in '44 and '45, as well as getting a pot-war refit for a tripod mast.
She's slightly unique in having kept Mount 53 after the war (this was removed dues to all the additional top hamper weight added in 1945.
She later transfered to the ROK Navy.
Luckily, there are a lot of reference photos available for getting th edetails right.
Getting 3d printed parts can help offset the slightly "soft" moulding of the Trumpy kit--if adding significantly to the cost. If you start from the Tamiya kit, you'll have about the same amount of parts in the spares box, but those leftover bits will be moulded better.