fender precision 5

I need a new bridge for my electric bass guitar…?
My bass: Standard Fender Precision P-bass.
My current bridge is held on by 5 screws and I’d like to get a bridge that has holes equal to my current bridge.
The problem with my current bridge/saddles is that the grub screws get loose when I play muted notes (as the edge of my hand hits the saddles). I have lost 2 grub screws already and when they loosen the pitch changes so it’s a right pain!
Any recommendations for a bridge that perhaps has grub screws unexposed? Or could you recommend a really good bridge? Or any other advice for buying a new bass guitar bridge?
Many thanks!
You are playing the Mexican Fender, right? Maybe try putting the American standard bridge on instead, it’s probably better.
In response….Fender American Standard Precision 5 -