What's actualy bothering my mind is the 7th frettless string thing , you mean you're going to cut the frets right after the 6th , yeah ? Now , you'll also have to leave a plenty of space for the 7th string not to hit the frets or go out of the neck by mistake ... That would be one heck of a guitar fretboard !
I suggest you add a Floyd Rose tremolo too , cuz it seems that you want this axe to have almost everything ,like a swiss knife ;) .