This is a problem every one who uses single coils faces. There are things you can do to tame the humm.
1) a shielding kit form www.stewmac.com Get at least two if you want to do the cavity as well as the back of the pick guard. These kits are not expensive.
2) turn off TVs and computer monitors.
3) try to avoid fluorescent tube lighting
4) find the best place in the room to stand. People will think you are weird however some spots will be quieter than others.
5) avoid having distortion and EQ pedals in front of your amp
6) fit a kill switch (an A/B switch) which you can use when not playing. Cheaper than an noise gate.
Hope this helps man !!
My instructors page and www.studiotrax.net for all things recording.
my toons Brought to you by Dr BadGAS
my toons Brought to you by Dr BadGAS