JV, if it's only the G-string and the others are fine, and it only does this whilst slapping, I'd tend to think string height-over-over-the-last-fret is a little bit low on that side. I'd raise ONLY that side of the bridge via the screw a wee bit a time and see if it goes away. Since all four are fine finger-picked, and three are fine slapped, I would not think it's a 'global' adjustment via the truss rods. If it's happening more closer to the nut, same thing in reverse: Raise the nut on that side slightly and see if that gets it.