Shielding does not work miracles...
If you have shielded the bass properly, that's about as much as it's going to do for your hum problems.
What I like to do is get a multimeter with a continuity buzzer.
Whenever the leads make contact with each other, the meter makes a buzzing sound.
Place one lead to a piece of shielding, then go through and touch the other lead to each other piece and make sure you hear the buzz for every grounded point.
When you use an ohm meter, check the resistance at various points and make sure that it is low.
Ideally, you want 0 ohms, but it may be higher.
The most resistance you should have would be maybe 2 or 3 ohms from neck pickup cavity through to bridge pickup cavity.