Bolt-on Neck Thickness

[Rick500]

The neck on my Strat project is about 1/16" thicker (from the fretboard surface to the back of the neck) than it should be, which puts the fretboard surface that much too high off the body.

I figure I'll either route the neck pocket a sixteenth deeper, or plane down the neck heel the same amount.

The neck hasn't been shaped yet. The bridge is a Gotoh hardtail.

Is one solution inherently better than the other?

It seems to me the best and most accurate way to solve this would be to just route the pocket a little deeper since there's already a flat surface there to guide the router. (I know the best method would have been to plane down the neck before I affixed the radiused fretboard. )

Just thought I'd run it by you guys in case there's something I didn't consider.

[prs man]

I say just route the pocket a little deeper as long as you have enough wood to rout from the neck cavity you should be cool