My wonderful Nashville Tele has always had an issue with low E string intonation. Open E great, Open E and E at 12th fret, great. Play a G at the third fret and it is way off. Bridge adjustments can't solve this. Different strings, thicker gauge, not the solution. Every other string is great. I have read this is often a nut problem. Would swapping a nut, like a new Tusq or something, be a good move? I'd like to try a few things before giving it over to a tech.