BP4025 is a sensitive mic too, it needs more care than NT4.
To eliminate the handling noise on both mic, the blimp is the best solution. However to me I do not want to carry to many big stuffs on bag for daily basic, so that is why I settled on BBG.
Shock mount is essential but also need to take care on the cables. My solution is (on both mic), I use a short 5-pin cable to connect the mic with the other end ‘embed’ on the pistol grip, it eliminate 100% noise from shock, cabling to handling.