Hi DK, sounds similar to Barge's previous ST build, I think the bridge cavity is too far south hence the 335mm measurement.
Is the bridge butting up to the pickguard and the pickguard is right up against the neck heel ?
If thats the case then the neck heel could be a bit too long, maybe it had the length of a 22 fret neck but only 21 were installed.
Thats what I would do shorten the neck heel a bit. Hopefully you haven't already pre-drilled the neck screw holes like Barge did which made it hard to shorten the heel and shift it back a few mm.
Good luck !