OK, so it appears that what I was hearing was actually the strings between the machine heads and the bit of nicely polished metal at the neck end - unbelievably, this was ringing out every time I hit the strings and that was feeding back through the pickups.
That's not the whole issue sorted, the guitar is still very noisy at band practice, but like I said somewhere else, the ISP is dealing with most of it.
I stuck a bit of rubber from a bike light fixing under the metal bridgey bit at the machine head end of the guitar, and this stopped that "springy" sound completely. I've also removed both of the other pickups, and removed the pickup selector, too.
I have another guitar, but it's also got a floating bridge, and is also downtuned to silly. I will try at high volumes with that, too to see if it makes a rude sound as well.
I found that there is quite a bit more noise in the effects loop with the ISP decimator there and not in use than with the effects loop off altogether. I spoke to the guy at ISP and he suggested cutting the ground on one of the cables to the second ISP decimator channel (to cut the ground loop there), and I did that, but it doesn't seem to have helped.
I will try the truss rod as well, thanks for those suggestions.
I know I need to try a few more things, and so will do those before I report back here, so I've a bit more useful info to help diagnose the problem. Maybe it's just because I'm playing with silly gain levels!
Roo
PS gig on Sunday night, woo!