Trouble with palm muting on an Axis guitar?

I LOVE my axis guitar, except… I struggle picking quickly while palm muting on the high E string. Between the whammy bar and Volume knob, my hand is crammed in a small space and my range of motion to quickly pick notes is limited. I tried palm muting closer to the neck pickup, but the sound is obviously different because of where my palm is muting the string. Anybody have this similar issue or know any solutions that I’m failing to come up with? At the moment, if I want to pick the high E string quickly, I simply can’t do any palm muting to it 🙁