Anyone can correct me if I am wrong, but I believe the SE Acoustics come with 80/20 Bronze(?) .012-.053 strings from the factory. 80/20's tend to be brighter, even more so when the string gauge drops to .011 - .052, or .010 - .050. I would suggest trying a set of Phosphor Bronze strings by the manufacturer of your choice, as they tend to be less bright compared to the 80/20's. That should help the unplugged sound. Plugged in, I would roll down the tone knob to pull out some of the treble, or adjust the EQ of your amp, mixer or whatever you are plugged into.