I have/ had a similar experience. Are you able to determine from where the buzzing is actually coming? I ask because of what I discovered…
Below from I posted in another thread.
I discovered a way to solve was by placing guitar picks between the contact points of the saddles… photo is tough to see, but there are picks inserted.
This is that thread and member @Whying_Dutchman had a great suggestion of using an insulator with a sticky peel-adhesive as described in post #4 as well as other good tips:
clicky: Buzzing discussion