When I build guitars I have fallen across what I find to be a golden minimum size ratio (at the nut) : depth = width/2 Anything less than that feels a bit cramped to me. As for the string lie issue - with traditional strats (pre 1985 rebuild of Fender in Corona), I find that the same issue can occur. I always look to cut the nut 1/8" minimum from the edge of the fingerboard, especially on an A or B neck. I've recently taken to fitting narrow conversion tremolos to 1970's Strats for customers as well (reduces bridge width to 54mm on 56mm base place so no new screw holes). That's an excellent solution to the strat E hang issue too. When refretting 70's strats I use a taller fret and don't shape in as much either, closer 60 degrees than 45 maybe. Same tricks will work in lots of situations - even a les paul can have new saddles cut with a narrower profile. There's nearly always a cure - good luck with working your one out.

@@TonyEdwardsGuitars Got a very good luthier near me....he can sort it out! I've gone with the narrower trem on one of my guitars too. I've found over the years that neck shape/size is the most important thing in whether I'll really take to a guitar or not. Can't abide slim or V shaped necks but they work for others!

it has a multi piece maple top with a flame maple veneer over it, at least the current ones do