I've never been able to mute my lower strings (b, e) to my satisfaction on my Strat. I would like the same control I get on a TOM bridge and the knobs out of the way. It's partially the volume knob being a bit in the way (moving it is not an option) and partially the lower bridge height.

One way I can compensate is by keeping the guitar neck back which pushes the lower body out more comfortably for muting on the right side. (...And I don`t mean using strength to pull it, mind you, just keeping the angle.) But this presents it`s own awkwardness.

Maybe there is some position I haven't thought to try. Any suggestions?