This is an old debate. The numbers say if you made then 11 IPC and gave them one free AA roll at 1 against a plane ( one cruiser = one die roll) you got as balanced unit.
Or you can make them 10 and reduce the SB to 1-2 ( 3 is too strong) you also got a balanced unit.
Just do battles of DD vs CA using total IPC of say 80 ipc or 160 ipc ( 8 or 16 CA vs> 10 or 20 DD)
Then also plug in numbers adding BB to each side ( say 3 per)
You will get a small DD advantage ( like 56%), the tipper is this AA roll or the 1-2 SB….you decide.