The best way to adjust the action is at the saddle.Neck relief will have little effect on the action,unless it it's completely outa whack.
From lot's of relief(.015"-.025") to straight,truss rod adjustment should lower the action only about 1/64", and you run the risk of buzzes appearing.
If the actions too high, take material from the bottom of the saddle w/sandpaper on a flat surface.If you've never done it, sand about the width of a pencil line at a time, being careful to maintain a good flat bottom profile.Patience is the key.Lots of folks have a summer & winter saddle,especially if they play outdoors a lot.
Steve