The in between positions on your Strat should be hum cancelling. If it doesn't get significantly quieter in those 2 positions then you may have something outside of the guitar causing the noise. It could also be a grounding problem. So be sure to make sure the wire that runs through the guitar to the tremolo claw in the back is securely soldered. Shielding the pickguard will help also. We have a thread somewhere that discusses that.
When you experience excessive noise try rotating yourself and the guitar in a 360 circle. If the noise quits in 2 specific places then you may be getting excessive electromagnetic interference from your home wiring.
Strats are noisy for the most part, but get even more so in high gain settings. It's something most of us live with or don't go high gain. Options, if it is your pickups causing all the noise, can be Fender Noiseless, Kinnman Noiseless, Dimarzio Noiseless, or Lace pickups. You'll spend quite a bit to change to any of these so look for other solutions first unless you just have money to burn. And if you do have money to burn my address is....
