Guitar will do nothing but hum

I'm working on a Bently (an old LP copy). I've totally replaced all the wiring, pickups, etc.

Now it's just humming, unless I touch it (which sounds like a ground issue to me).

I've rewired THE ENTIRE THING 3 times.

I've re-soldered ALL THE GROUND CONNECTIONS more times than that.

I've checked the ground on the tailpiece several times. I've drilled a hole through the bottom of the tailpiece, and wrapped the ground around it. I've tried to solder it in. I unsoldered the wire and jammed the tailpiece up against it (the way it originally was).

I've scraped the jack to make sure it's got a good connection.

I've retraced my wiring over and over and over again. I've inhaled tons of lead smoke.

And still, it just hums. New wiring, new pickups, new pots. It all just hums.

Any suggestions?

I'm using 66/44 electrical solder (although the rosin core is getting all over everything, I seriously doubt that's what's causing the problem) and a 30w Iron (Though I have read 40 is better for soldering earth connections).

The only other thing I can think of is that the tailpiece lugs aren't conductive. I pulled them out of another guitar and maybe that ground was wired to the bridge lugs? I don't remember. Has anyone ever heard of this?

I hate wiring. More than anything.