you'll get a lot of opinions on this as we all have different hands. i find the string spacing at the saddle important also, needing something like 1 3/4" across the strings at the saddle. i'd like to be particular about the nut and go with 1.5", but have no trouble playing 1 3/8", and it's easy to source pre made nuts inexpensively.
i've given away a mainland tenor that played well, but was very narrow at the saddle. it would have been a good strummer's instrument. the whole buying of my first number of ukes has convinced me to set up for making them. whatever you are not satisfied with current offerings can be taken care of. my main issue is preferring a thick neck. this couldn't even be properly ordered from a custom builder. i would guess to like a 7/8" thick neck including the finger board, but won't know until i feel it in my hands,, solution,, make it a quarter inch heavy and slowly take it down.
give some thought to your soundboard and bracing pattern as this will make the instrument.