I learned that sonar spotting distance is determined by the FCS space (not the FCS system) of a particular ship and then that distance is lengthened based upon the true potential ability of the sonar sailor (if any).
I had been taking a Kagero as sonar escort (i.e. a kagero with the smallest possible guns and crew and ammo but with a sonar sailor) but that is a fail in IJN. A much much better choice although more expensive is a Yubari with 66 (the largest FCS space along with Kita and Dhonburi of any CL in any nation). You must use a sonar sailor with the Yubari since technically it is a CL.
Get a sonar and tow one of those behind your bb.
If you are strapped for cash, the Akitsuki-Kai is just a tad more than the Kagero but has FCS of 45 vs 30 of the Kagero.
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